By understanding what composite numbers are and how they relate to rolling a die, we can determine the expected number of times Ms. Rod will roll a composite number in 57 rolls.
A composite number is a positive integer that has at least one positive divisor other than one or itself. In other words, a composite number is a number that can be factored into smaller positive integers.
To find the number of times Ms. Rod should expect to roll a composite number, we need to know how many numbers from 1 to 6 are composite. Only two numbers are prime in this range, namely 2 and 3. This means that the other four numbers (4, 5, and 6) are composite. Therefore, out of the 6 possible outcomes of rolling the die, 4 of them are composite numbers.
We can use this information to calculate the expected number of times Ms. Rod will roll a composite number. We know that she is rolling the die 57 times, and each roll has a probability of 4/6 (or 2/3) of resulting in a composite number. Therefore, we can use the formula for the expected value of a discrete random variable, which is:
Expected value = (number of trials) x (probability of success)
Plugging in the values, we get:
Expected value = 57 x 2/3
Expected value = 38
Therefore, we can expect Ms. Rod to roll a composite number about 38 times out of 57 rolls. However, it's important to note that this is just an expected value, and the actual number of times she rolls a composite number may vary.
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Amy used her first 2 tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she
played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon
Bouncer costs 3 tokens per game, and Amy started with a bucket of 35 game tokens.
Which equation can Amy use to find how many games of Balloon Bouncer,
she played
Answer:
11
Step-by-step explanation:
Let's call the number of games of Balloon Bouncer that Amy played as "x".
Amy started with 35 tokens and used 2 for Roll-and-Score, so she had 35 - 2 = 33 tokens left.
Each game of Balloon Bouncer costs 3 tokens, so the total number of tokens used for Balloon Bouncer games is 3x.
Therefore, the equation to find the number of games Amy played is:
33 = 3x
Solving for x, we get:
x = 11
So Amy played 11 games of Balloon Bouncer.
Answer: 3g + 3 = 35
Step-by-step explanation:
What is the area of this compound figure?
Answer:
99 square millimeters
Answer given by the other user is correct. Merely giving the steps required to solve such a problem
Step-by-step explanation:
Break up the figure into 3 rectangles as shown in the attached image
The area of the top rectangle with size 11 x 3 = 33 square millimeters
The area of the small rectangle is 2 x 5 = 10 square millimeters
The area of the vertical rectangle is 4 x 14 = 56 square millimeters
Total area = 33 + 10 + 56
= 99 square millimeters
The sales tax rate is 6%. If Sally buy sarow boat priced at $842, how much tax will she
pay?
Sally will have to pay $50.52 in sales tax when she buys the Sarow boat.
Sales tax is a percentage of the purchase price of an item that the buyer pays to the government.
In this scenario, we will discuss how to calculate the sales tax that Sally will have to pay when she purchases a Sarow boat for $842, with a tax rate of 6%.
When we say that the sales tax rate is 6%, it means that for every dollar Sally spends on the Sarow boat, she has to pay an additional 6 cents to the government as tax. To calculate the amount of tax Sally will pay, we need to multiply the purchase price of the boat by the tax rate.
The formula to calculate the amount of sales tax is:
Sales tax amount = Purchase price x Tax rate
Using the given values, we can plug them into the formula and solve for the tax amount:
Sales tax amount = $842 x 0.06
Sales tax amount = $50.52
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Solve Each System By Substitution
y=-2
4x-3y=18
Answer: x=3
Step-by-step explanation:
4x-3y=18
4x-3(-2)=18
4x+6=18
(4x=12)/4
x=3
texting and driving does providing additional information affect responses to a survey question? two statistics students decided to investigate this issue by asking different versions of a question about texting and driving. fifty mall shoppers were divided into two groups of 25 at random. the first group was asked version a and the other half were asked version b.
Yes, providing additional information affect responses to a survey question. The difference in the proportion of shoppers who admitted to texting and driving in the two groups is 0.2.
To calculate the difference in the proportion of shoppers who admitted to texting and driving in the two groups, we need to first determine the number of shoppers in each group who admitted to texting and driving.
Let's assume that in Group A, 10 shoppers admitted to texting and driving, while in Group B, 5 shoppers admitted to texting and driving.
Then, we can calculate the proportion of shoppers who admitted to texting and driving in each group by dividing the number of shoppers who admitted to texting and driving by the total number of shoppers in each group:
Proportion in Group A = 10/25 = 0.4
Proportion in Group B = 5/25 = 0.2
The difference in proportions is then:
Difference = Proportion in Group A - Proportion in Group B
Difference = 0.4 - 0.2
Difference = 0.2
Therefore, the difference in the proportion of shoppers who admitted to texting and driving in the two groups (A-B) is 0.2 or 20%.
This suggests that providing additional information about the potential consequences of texting and driving may reduce the proportion of people who admit to engaging in this behavior. However, it's important to note that this study has a small sample size and there may be other factors that influence people's responses to survey questions about texting and driving.
Correct Question :
Does providing additional information affect responses to a survey question? Two statistics students decided to investigate by asking different versions of a question about texting and driving. Fifty mall shoppers were divided into two groups of 25 at random. The first group was asked Version A and the other half were asked Version B. Version A: A lot of people text and drive. Are you one of them? Version B: About 6000 deaths occur per year due to texting and driving. Knowing the potential consequences, do you text and drive? Calculate the difference in the proportion of shoppers who admitted to texting and driving in the two groups (A-B).
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The altitude of an airplane is represented by the equation shown below, where Y represents the altitude, in feet, of the airplane and x represents the number of minutes the airplane has been descending:
Y = 1025x + 24,600
Part A: Create a table for the values when x = 0, 5, 8, 10, 30.
Include worked-out equations used to identify the values within the table.
Part B: Identify the altitude after 5 minutes and after 30 minutes. Use 1-2 sentences to explain the altitude at these two times and describe what is happening to the airplane at these time intervals.
The way the altitude changes is 24,600 (0 minutes), 19,475 (5 minutes), 16,400 (8 minutes), 14,350(10 minutes), and 6,150 (30 minutes).
How does the altitude change over time?To calculate the change in the altitude, let's use the formula given:
0 minutes:
Y = - 1025 x 0+ 24,600
Y = 24,600
5 minutes:
Y = - 1025 x 5+ 24,600
Y = -5125 + 24, 600
Y = 19,475
8 minutes:
Y = - 1025 x 8+ 24,600
Y = -8200 + 24, 600
Y = 16,400
10 minutes:
Y = - 1025 x 10+ 24,600
Y = -10250 + 24, 600
Y = 14,350
30 minutes:
Y = - 1025 x 30+ 24,600
Y = -30,750 + 24, 600
Y = 6,150
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please help me quikly
A video rental company offers a plan that includes a membership fee of $10 and charges $4 for every DVD borrowed. They also offer a second plan, that costs $50 per month for unlimited DVD rentals. If a customer borrows enough DVDs in a month, the two plans cost the same amount. How many DVDs is that?
Write a system of equations, graph them, and type the solution.
The solution to this system of equations is (10, 50).
A graph of this system of equations is shown in the image attached below.
How to determine the number of DVDs when the two companies cost the same amount?Based on the information provided above, one of the plan includes a membership fee of $10 and charges $4 for every DVD borrowed. Therefore, the total cost, y, can be represented by this equation:
y = 4x + 10 .......equation 1.
where:
x represents the number of DVDs borrowed in a month.
For the second plan, it costs $50 per month for unlimited DVD rentals. Therefore, the total cost, y, can be represented by this equation:
y = 50 ....equation 1.
By equating equation 1 and equation 2, we have the following:
4x + 10 = 50
4x = 50 - 10
4x = 40
x = 40/4
x = 10 DVDs.
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If angle AOB = 4x - 2 and BOC = 5x + 10 and COD = 2x + 14. What is x?
We need the angle AOD to find the x value
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Missed data: ABCD is a QUADRILATERAL
'O' is a point in the middle joining OA,OB,OC and OD , find the angle AOD which is x here
Adding 3 angles we get 11x+22,
Equation is :
11x+22 + AOD = 360
=> AOD = 360 - 22- 11x
AOD= 338- 11x
We need the angle AOD to find the x value
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every time these two wheels are spun, two numbers are selected by the pointers. what is the probability that the sum of the two selected numbers is even?
The probability that the sum of the two selected numbers is even is 1/2.
The parity of the two chosen numbers must match for the sum to be even.
Given this information, we can divide the larger problem into smaller ones. First, we may determine the likelihood that the first spinner will land on an even number.
Exists a [tex]$\frac{1}{2}$[/tex] chance that this happens, and a [tex]$\frac{1}{3}[/tex] there is a chance that the second spinner will also land on an even number, hence
[tex]$\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}$[/tex]
There is a win if both the first and second spinners land on an odd number.
[tex]$\frac{1}{2} \cdot \frac{2}{3} = \frac{2}{6}$[/tex]
chance of this happening. Adding these two probabilities together, we get
[tex]\frac{1}{6} +\frac{2}{6} =\frac{3}{6} =\frac{1}{2}[/tex]
Therefore, The probability that the sum of the two selected numbers is even is 1/2.
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HEYOOO 60 POINTS
just answer this very complicated math question to get some easy points
*brailiest for most pizzazz* :
1 + 1 = ?
Answer:
1 + 1 = 2
Step-by-step explanation:
you add one and add another one and together thetr is two. so you would have two left.
__ % of 90 is 90?
O 90%
O 100%
O 10%
O 50%
Answer:
100
Step-by-step explanation:
I hate that I have to use 20 characterz
the t-value changes depending on the number of data points collected.
Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.
It is used in a t-test, which is a type of hypothesis test that is commonly used in statistical analysis. The t-value changes depending on the number of data points (sample size) collected, as well as the level of confidence desired and the standard deviation of the population. A larger sample size typically results in a smaller t-value, which means that the difference between the two sample means is more significant. On the other hand, a smaller sample size leads to a larger t-value, which means that the difference between the two sample means is less significant. Yes, that is correct. The t-value is used to calculate the significance of the difference between two sample means.
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What is the area of KELP, h = 52.6, b1 = 47.8, 62 = 39.1 *
A diagram with Trapezoid KELP and Circle C is shown. Given the dimensions, find the
area of each figure and complete the table. Round to the nearest hundredth if
necessary.
O
O
156.61
12443.11
476.26
14.62
25.15
O 13565.51
161.88
36.89
419.78
2285.47
The area of the trapezoid is A = 2285.47 units²
What is a trapezoid?The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.
There are three types of trapezoids , and those are given below:
a) Isosceles Trapezoid
b) Scalene Trapezoid
c) Right Trapezoid
The area of the Trapezoid is given by
Area of Trapezoid = ( ( a + b ) h ) / 2
where , a = shorter base of trapezium
b = longer base of trapezium
h = height of trapezium
Given data ,
Let the area of the trapezoid be represented as A
Now , the value of A is
Let the height of the trapezium be h = 52.6
Let the length of the shorter base a = 39.1
Let the length of the longer base b = 47.8
Now , Area of Trapezoid = ( ( a + b ) h ) / 2
On simplifying , we get
Area of trapezoid A = ( ( 47.8 + 39.1 ) 52.6 ) / 2
Area of trapezoid A = ( 86.9 x 52.6 ) / 2
Area of trapezoid A = 4,570.94 / 2
Area of trapezoid A = 2285.47 units²
Hence , the area of the trapezoid is 2285.47 units²
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The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
The number of each type of ticket sold in the following situation:
1. The tickets of $5.00 = 400
2. The tickets of $7.50 = 200
What is linear equation ?A linear equation is an algebraic equation in which the highest power of the variable is 1. In simple words, a linear equation is an equation in which the variables appear only in the first degree.
Linear equations can be written in the form:
y = mx + b
where y and x are variables, m is the slope (or rate of change), and b is the y-intercept (the point where the line crosses the y-axis).
Let x be the number of tickets sold before the day of the game and y be the number of tickets sold at the game.
Then we have:
x + y = 600 (the total number of tickets sold)
and
5x + 7.5y = 3500 (the total receipts from ticket sales)
To solve for x and y, we can use substitution.
Simplify and solve for y:
3000 - 5y + 7.5y = 3500,
2.5y = 500
y = 200
Substitute y = 200 back into the equation x + y = 600 to find x:
x + 200 = 600,
x = 400.
Therefore, 400 tickets were sold before the day of the game and 200 tickets were sold at the game.
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The complete question:
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. Find the number of tickets sold before the day of the game and the number of tickets sold at the day of the game?
Simplify the algebraic expression by using the Distributive Property first and then combining like terms.
Explain your answer or show your work.
12x-18y/6 +4y
The value of the equation is A = ( 6x - 9y ) / ( 3 + 2y )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 12x - 18y ) / ( 6 + 4y )
On simplifying the equation , we get
Taking the common factor as 6 in the numerator , we get
A = 6 ( 2x - 3y ) / ( 6 + 4y )
Taking the common factor as 2 in the denominator , we get
A = ( 6/2 ) ( 2x - 3y ) / ( 3 + 2y )
On further simplification , we get
A = 3 ( 2x - 3y ) / ( 3 + 2y )
A = ( 6x - 9y ) / ( 3 + 2y )
Hence , the equation is A = ( 6x - 9y ) / ( 3 + 2y )
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What happens if the residual is negative?
When the residual is negative it represents the predicted value is very much high.
A residual represents the measure of how well a line fits for the given individual data points which were plotted on the graph. Residual plot is representation on the graph which shows the residuals on the vertical axis also independent variable on the horizontal axis of the graph.If the residual value is positive it represents the predicted value is very low on the regression line.If the residual value is negative it represents the predicted value is very high on the regression line.Therefore, the negative residual value on the regression line represents the predicted value is very much high.
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A system of linear equations is shown in the graph. How many solutions does the system have?br /> One solution at (0, 4) One solution at (−3, 0) Infinitely many solutions No solution
There are two solutions to the system of linear equations depicted in the graph: one at (0,4) and one at (-3,0). There is only one distinct solution to the system of equations where the two lines intersect at the points (-3,0) and (0,4).
How can the number of solutions to a system of linear equations be determined?If the slopes are the same but the y-intercepts vary, the system has no solution. If the slopes are different, the system only has one solution. The system has an endless number of solutions if the slopes and y-intercepts match.
How many possible solutions can there be for a system of two linear equations?There are therefore countless possible answers. A different kind of linear equation system is a system with two parallel lines represented by the equations is referred to be an inconsistent system. The lines have distinct y-intercepts but the same slope.
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2v+12≥16 need help pls give 30 points
The method for addressing inequality 2v + 12 ≥ 16 is v ≥ 2. This indicates that any value of v larger than or equal to 2 will fulfil the inequality.
What is meant by inequality?The idea of inequality—the state of not being equal, particularly in status, rights, and opportunities1—is one that is central to social justice theories. However, because it frequently has diverse meanings to different people, it can become confusing in public discourse.
What kind of mathematical inequality is this, specifically?The equation-like appearance of the phrase 5x 4 > 2x + 3 is altered by the arrowhead in place of the equals sign. It serves as an illustration of inequity. This shows that the section on the left, 5x 4, is bigger than the part on the right.
Subtract 12 from both sides of the inequality:
2v + 12 - 12 ≥ 16 - 12
Simplifying, we get:
2v ≥ 4
Divide both sides of the inequality by 2:
2v/2 ≥ 4/2
Simplifying, we get:
v ≥ 2.
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O DATA ANALYSIS AND PROBABILITY
Range of a data set
Ann is recording the percentages she earned on each quiz in her math class. Here are her results for the last 7 quizzes.
74, 64, 90, 74, 92, 68, 71
Find the range of the data set.
a
X
5
The range of the data set is, 28
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The data set is,
74, 64, 90, 74, 92, 68, 71
Now, We know that;
Range of data set is calculating by subtracting the lowest value from highest value.
Hence, The range is,
⇒ Highest value - Lowest value
⇒ 92 - 64
⇒ 28
Thus, The value of range = 28
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Bella has volunteered to feed the dogs at a shelter. The table shows the number of cups of dog food that each dog should be fed each day. What does the number of observations in this data set signify
It signifies the number of dogs that Bella feeds. The number of observations in dataset is an important characteristic that helps to determine the size of data and potential variability of data.
The table of the number of cups of dog food that each dog should be fed each day is a dataset that contains multiple observations. Each row in the table represents one observation for one dog, with information about the number of cups of dog food that the dog should be fed each day.
The number of observations in this data set is equal to the number of dogs that Bella will be feeding at the shelter. Each observation in the dataset represents a single unit of information, in this case, the number of cups of dog food that a particular dog should be fed.
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5x5+67-85=
PLS HURRY
Answer:
7
Step-by-step explanation:
We start doing the multiplication, and [tex]5 \cdot 5 = 25[/tex]. So we can rewrite it as [tex]25 + 67 - 85.[/tex] Now we work from left to right, where we calculate [tex]25 + 67 = 92[/tex]. Now the final step, [tex]92 - 85 = 7.[/tex] Therefore, the answer is [tex]\boxed{7.}[/tex]
Answer:
sry for being late the answer is 7……I did it in my head and double checked with a calculator. Go ahead and give the other person brainliest they did it first! Hope I helped to!!
Step-by-step explanation:
Can you please answer the question???
The volume of given triangular prism is 24,000 cubic yards.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Here, the dimensions of base are 30 yards and 20 yards.
Here, area = 1/2×30×20
= 300 yd²
Volume of a triangular prism = Area of base triangle × Length of the prism.
= 300×80
= 24,000 yd³
Therefore, the volume is 24,000 yd³.
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And i dont get this aswell
Answer:5
Step-by-step explanation:
This is a variation question.
When m is inversely proportional to n,
m ∝ 1/n
Now, there is a constant of 100.
So the formula connecting m and n is
m=k/n where k is the constant
=>m=100/n
Now, n= 20 ( 20 printers)
Thus, m=
100/20=5 minutes.
Hope this helps :)
Use the table to make a function
The quadratic equation that represents the parabola is y - 2 = - x².
How to determine and check a quadratic equation
In this problem we find a table representing a quadratic equation, whose definition can be found by using two points and the vertex form of the parabola equation:
Vertex form
y - k = C · (x - h)²
Where:
(h, k) - Coordinates of the vertex.C - Vertex constantFirst, determine the coordinates of the vertex of the parabola by table:
(h, k) = (0, 2)
Second, find the vertex constant:
C = (y - k) / (x - h)²
C = (1 - 2) / (1 - 0)²
C = - 1
Third, write the equation of the parabola:
y - 2 = - x²
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A person is measuring for new carpet in an auditorium. the angle of elevation from the front to back is 12 degrees and the last row is 15 feet higher than the front row. what is the straight line distance from the front seat to the back? round to the nearest tenth
The straight line distance from the front seat to the back is approximately 69.7 feet.
What is a straight line distance?Straight line distance refers to the shortest distance between two points in a straight line, as opposed to the distance that would be traveled along a curved path or following the contours of the terrain.
Let the distance from the front row to the back row be x.
Then, we can use the tangent function to find the height difference between the front and back rows:
tan(12°) = (height difference) / x
Solving for the height difference:
height difference = x * tan(12°)
The problem tells us that the height difference is 15 feet, so we can set up an equation:
15 = x * tan(12°)
Solving for x:
x = 15 / tan(12°) ≈ 69.7 feet
Therefore, the straight line distance from the front seat to the back is approximately 69.7 feet.
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A repeated-measures research study and a separate independent-measures research study both produced a t statistic with df = 10. How many individuals participated in each research study?
Group of answer choices
a.)n = 12 for a repeated-measures research study and n = 11 for an independent-measures research study
b.)n = 12 for a repeated-measures research study and n = 12 for an independent-measures research study
c.)n = 11 for a repeated-measures research study and n = 11 for an independent-measures research study
d.)n = 11 for a repeated-measures research study and n = 12 for an independent-measures research study
By applying repeated and independent measures concepts, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).
In a repeated-measures research study, the degree of freedom (df) is calculated by subtracting 1 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 1 = 11.
Whilst, in an independent-measures research study, the degree of freedom (df) is calculated by subtracting 2 from the number of individuals in the study (n). Therefore, if df = 10, then the number of individuals in the study is 10 + 2 = 12.
Therefore, it can be concluded that there are 11 individuals participated in the repeated-measures research study and 12 individuals participated in the independent-measures research study (option D).
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The points A B C D and E lie on the circle PAQ is a tangent to the circle at A and EC=EB Angle ECB=80° and angle ABE = 40° Find the values of v w x y and z
The values of v w x y and z are given below:
v= 40°w= 80°x= 40°y= 80°z= 80°How to solve these<EDA= <EBA= 40°
==> x= 40°
This is because the circumferential arc of the same arc is equal.
<PAE= <ADE= 40°
=>v= 40°
This is based on the alternate segment theorem.
Because EC= EB, <ECB= <EBC= 80°
=> w= 80°
This is based on the properties of an isosceles triangle.
<ECB = <EAB = 80°
=> y= 80°
This is because the circumferential angle of the same arc are equal
Because <EBC = <ECB= 80°
=> <BEC = 180° -(80 x2)
= 20°
This is because the sum of the interior angles of the triangle is 180°
<AEB = 180°-y - <ABE
= 60°.
<AEC = <AEB + <BEC= 60° + 20°
=80°.
So <ADC = <AEC = 80°
=> = 80°
This is because the circumferential angle of the same arc are equal
Therefore,
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Find an expression that represents the difference when (-4x+4) is subtracted from (-9x-7) in simplest terms
In the simplest terms, the expression for the difference between (-9x-7) and (-4x+4) is -5x - 11.
To find the difference between (-9x-7) and (-4x+4), we can subtract the second expression from the first expression and get: (-9x - 7) - (-4x + 4)
Simplifying the double negative, we get: (-9x - 7) + (4x - 4)
Next, we can combine like terms: -9x + 4x - 7 - 4
Simplifying this expression further down, we get: -5x - 11
Therefore, the expression that represents the difference between (-9x-7) and (-4x+4) in simplest terms is -5x - 11.
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An apple pie is cut into six equal slices. If the diameter of the pie is ten inches, what is the approximate arc length of one slice of pie?
A 1.67 in.
B 3.14 in.
C 5.24 in.
D 13.08 in.
The approximate arc length of one slice of apple pie, when the diameter of the pie is ten inches, is option (c) - 5.24 inches.
We know that the apple pie is cut into 6 equal slices,
therefore, Θ = 360/6 = 60° (for each slice of the apple pie)
then the diameter of the apple pie is, d = 10 inches
from the diameter we can find the radius, r = 10/2 inches = 5 inches
arc length = 0/360 × 2[tex]\pi[/tex]r
we put the values of r and [tex]\pi[/tex] into the equation, we get the following:
= 60/360 × [tex]2\pi[/tex] × 5
= 5.24 inches.
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y=3x+2
-4x+2y=8
elimination method
The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The equations are given below.
y = 3x + 2
2y = 6x + 4
6x - 2y = - 4 ...1
- 4x + 2y = 8 ...2
Add both equations, then we have
6x - 4x = - 4 + 8
2x = 4
x = 2
Then the value of 'y' is given as,
y = 3(2) + 2
y = 6 + 2
y = 8
The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).
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