6x+2y=20 2x-3y=3 solve by substitution

Answers

Answer 1
I’m from Poland and i don’t know if we solve problems in the same way but i hope that i helped ;D
6x+2y=20 2x-3y=3 Solve By Substitution
Answer 2

The solution of the system of linear equation by substitution method is (3,1).

What is the method of substitution?

The method of substitution is the method for solving the linear equation where the value of one variable of one equation is placed in the place of that variable in another equation.

Given here the linear equations are

Equation 1: 6x+2y=20

Equation 2: 2x-3y=3

in equation 1 the value of y will be

6x+2y=20

⇒2y=20-6x

⇒y=(20-6x)/2

⇒y=10-3x

substituting the value of y in the equation 2, we will get

2x-3y=3

⇒2x-3(10-3x)=3

⇒2x-30+9x=3

⇒11x-30=3

⇒11x=30+3

⇒11x=33

⇒x=33/11

⇒x=3

putting the value of x in value of y in equation 1

y=10-3x

⇒y=10-3(3)

⇒y=10-9

⇒y=1

The solution of the system of linear equation by substitution method is (3,1).

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Related Questions

Use the interactive to make a line that passes through the points 3'2 and -1'-1 slope

Answers

The required equation of the line passing the coordinates will be y = 3/4x - 1/4

Equation of a line

The standard equation of a line is expressed as y= mx + b

where

m is the slope

b is the y-intercept

Given the coordinate points on a line (3, 2) and (-1, -1)

Slope = -1-2/-1-3

Slope = 3/4

Determine the y-intercept

2 = 3/4(3) + b
2 = 9/4 + b

b = 2 - 9/4

b = -1/4

The required equation of the line passing the coordinates will be y = 3/4x - 1/4

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These expressions represent four numbers. The value of the median of the expressions is 12.

Answers

Answer:

Try retyping ,which expressions ..?? Maybe it didn't come out

Answer:

15

Step-by-step explanation:

Actual Question:

These expressions represent four numbers. The value of the median of the expressions is 12.

x  ,   2x,   6x,  11x

Work out the value of the mean of the expressions.

_____________________________________________

See the attachment for steps.

Which angles would the consecutive interior angles theorem state are supplementary?

Answers

Angles 3 and 5; angles 4 and 6

Answer:

<3 and <5<4 and <6

Step-by-step explanation:

Now that we know how to identify consecutive interior angles, let’s talk about the theorem. The consecutive interior angles theorem states that when the two lines are parallel, then the consecutive interior angles are supplementary to each other. Supplementary means that the two angles add up to 180 degrees.

which number is the
same distance away from -12 as 2?

Answers

Answer:

-26

Step-by-step explanation:

2 is 14 away from -12. The other number that is 14 away from -12 is -26.

-12 + x = 2

x  = 14

-12 - 14 = -26

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven-dollar games could he buy with the money he had left?

Answers

Answer:

three

Step-by-step explanation:

60 - 39 = 21

21/7 = 3

Answer = 3

60-39
21 divided by 7
3

solve the following inequality

Answers

The solution set of the inequality is:

w ∈ (-∞, -1] U [3, ∞)

How to solve the given inequality?

The graphed parabola is f(w), and we have the inequality:

f(w) ≤ 0.

So we need to identify the intervals such that the parabola is below the horizontal axis. By looking at the graph, we can see that the two intervals are:

Left side:

(-∞, -1]

Right side:

[3, ∞)

Where the brackets are used because points x = -1 and x = 3 are solutions.

Then the solution set of the inequality is:

w ∈ (-∞, -1] U [3, ∞)

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Bayes' rule combines accuracy, false positives, and _____ to determine the probability of a result.

Answers

The blank space in the task content should be filled with; false negatives.

What is Baye's rule?

Baye's theorem can be used to correct measurement errors provided the real probabilities, the chance of a false positive and the chance of a false negative is known.

Hence, it follows from the methodology above that the Baye's rule combines accuracy, false positives and false negatives in a bid to determine the probability of a result.

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Find the minimum sample size n needed to estimate u for the given values of c, o, and e. C=.95, O=6.4, E= 2

Answers

The multiplication is equal to =- 18.66

A rectangular room is 1.2times as long as it is wide, and its perimeter is
30 meters. Find the dimension of the room.
The length is :
meters and the width is
___meters.

Answers

The length is 6.8 meters and the width is 8.2 meters.

How to determine the dimension of the room?

Represent the length and the width with x and y

So, we have:

y = 1.2x

P = 2(x + y)

The perimeter is 30.

So, we have:

2(x + y) = 30

Divide by 2

x + y = 15

Substitute y = 1.2x

x + 1.2x = 15

This gives

2.2x = 15

Divide by 2.2

x = 6.8

Substitute x = 6.8 in y = 1.2x

y = 1.2 * 6.8

Evaluate

y = 8.2

Hence, the length is 6.8 meters and the width is 8.2 meters.

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Help asap please I need it

Answers

Answer: 8x+70

Step-by-step explanation:

[tex]\sum^{5}_{n=2} (2x+5n)=(2x+10)+(2x+15)+(2x+20)+(2x+25)=\boxed{8x+70}[/tex]

Gianna is constructing a circle that passes through all three vertices of the triangle shown.
Where will the center of the circle be located?
OA. on a vertex of the triangle
OB. inside the triangle
OC. on a side of the triangle
OD. outside the triangle
B

Answers

Based on the definition of a circumcircle, the center of the circle as shown in the image below is located: B. inside the triangle.

What is a Circumcircle?

A circumcircle, as shown in the diagram attached below, is a circle that is drawn so that all the vertices of a triangle touches the circumference of the circle.

Thus, as shown in the image attached below, the center of the circle is located: B. inside the triangle.

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Answer: OUTSIDE THE TRIANGLE

Step-by-step explanation: ANSWER ON EDMENTUM/PUTO

Skylar models the volume of a popcorn box as a right rectangular prism and the box can hold 69 cubic inches of popcorn when it is full. Its width is 33 in and its height is 5 3/4 in. Find the length of the popcorn box in inches. Round your answer to the nearest tenth if necessary.

Answers

Answer:

4/11 of an inch (about .4 of an inch)

Step-by-step explanation:

[tex]l \times 33 \times 5.75 = 69[/tex]

[tex]189.75l = 69[/tex]

[tex]l = \frac{69}{189.75} = \frac{4}{11} = .3636[/tex]

So the length of the popcorn box is 4/11 of an inch, or about .4 of an inch.

Given the diagram below, what is cos(45)?
A. √2
B.1/√2
C. 3√2
D. 1/√3

Answers

Using the cosine ratio, the value of cos(45) in the diagram is: B. 1/√2.

How to Find the Cosine Ratio?

Cosine ratio is, cos ∅ = adjacent length/hypotenuse length of a right triangle.

The triangle is a 45-45-90 triangle, thus, the two legs will be the same length, which is: 9 units each.

Hypotenuse = √(9² + 9²) = √162 = 9√2 units

∅ = 45°

Adjacent = 9 units

cos 45 = 9/9√2 = 1/√2

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Can someone tell me why this wrong please

Answers

Answer:

4,051,500

Step-by-step explanation:

You have 7.3 % that are one native one foreign

Multiply that by the number of households

.073 * 55,500,000

4,051,500

(x-8)^2 i need step by step please like eveyone gets x2 -16x +64 i dont get
how

Answers

Answer:

x²-16x+64

use formula =a²-2ab+b²x²-2.x.8+8² (for knowledge 2 × 8 = 16)x²-16x+64

Answer:

  (x -8)² = x² -16x +64

Step-by-step explanation:

A lot of math is about pattern recognition. For many of the patterns you are asked to recognize, it is helpful to be very familiar with basic math facts: addition facts, multiplication facts, and the squares and cubes of small integers.

All of algebra is based on a few properties of arithmetic and equality. One that is important here is the distributive property.

__

expanding a product of binomials

One of the patterns that is used with quadratics is the square of a binomial.

  (a - b)² = a² -2ab +b²

This is the result of applying the distributive property several times.

First of all, the exponent indicates repeated multiplication:

  (a -b)² = (a -b)×(a -b)

The distributive property tells you each term outside parentheses multiplies each term inside:

  = a×(a -b) -b×(a -b)

  = a·a -a·b -b·a +b·b . . . . . and again

Now, we collect terms, recognizing that ab=ba.

  = a² -2(a·b) +b² . . . . . . . using exponents for repeated multiplication

So, the pattern for the square of a binomial is ...

  (a -b)² = a² -2ab +b²

__

using the pattern

For your specific case, ...

a = xb = 8

  (x -8)² = x² -2(x)(8) +8² . . . . . . using the above pattern

  (x -8)² = x² -16x +64

_____

Additional comment

If you want to do this without using the pattern, just make use of the distributive property:

  [tex](x-8)^2=(x-8)(x-8)\\\\=x(x -8) -8(x-8)\\\\=x^2-8x-(8x-64)\\\\=x^2-8x-8x+64\\\\\boxed{(x-8)^2=x^2-16x+64}}[/tex]

__

While the distributive property is the fundamental property involved, some find it helpful to remember a mnemonic that gets you to the same result for the product of binomials: FOIL. The letters refer to First, Outer, Inner, Last, and they remind you of the terms that make up the expansion of the product:

(x -8)(x -8) -- First: x·x = x²(x -8)(x -8) -- Outer: x·(-8) = -8x(x -8)(x -8) -- Inner: (-8)·x = -8x(x -8)(x -8) -- Last: (-8)(-8) = 64

Then the product is ...

  (x -8)² = x² -8x -8x +64 = x² -16x +64

__

Of course, the distributive property is involved in what we call "collecting terms."

  -8x -8x = (-8-8)x = -16x

The variable is factored out using the distributive property, then the coefficients are added to simplify the expression in parentheses.

which set of ordered pairs corresponds to the graph ?

Answers

Answer:

Let first check the coordinates of the points

A = (1 , -6)

B = (2 , -4)

C = (2, -2)

D = (4, -2)

E = ( 6, 0)

Option 4 is correct..

Explanation -

to find the coordinates we have to find the distance of that point from x Axis and then y axis. from origin.

Express verbal statement in algebraic form.
The cost to rent a sailing boat at Catalina Island is $370 per day
plus $80 for every hour of use. What is the maximum number of
hours the sail boat can be rented for each day, if the rental cost is
not to exceed $1090 per day?

Answers

Answer:

370 + 80x ≤ 1090

Step-by-step explanation:

By using letter variables for the unknown numbers, we can break down the question into mathematical terms:

If the cost is $370 per day and the number of days is unknown, we can substitute the number of days with a placeholder. In this case, it'll be a variable such as x. So the cost can be represented by $370y.

If the cost is $80 per hour and the number of hours is unknown, we can substitute the number of hours with a placeholder. In this case, it'll be a variable such as y. So the cost can be represented by $80x.

The questions asks for the total cost not to exceed $1090 per day. This means that we know that the number of days is 1. We're trying to find the maximum number of hours, so our equation will combine the costs of both day costs and hour costs:

$370 (1 day) + $80 (x hours) ≤ $1090 per day

The symbol is the equal to or less than symbol, meaning the combined total costs is either equal to $1090 or less than it.

To simplify this, we can rewrite it as:

370 + 80x ≤ 1090

Part A
Which shapes can you use to model the log and the board?

Answers

Answer:

A cylinder

Step-by-step explanation:

Hope this helps :)

Find the average rate of change of the function on the interval specified.
g(x) = 7x3 − 4
on
[−3, 3]

Answers

The average rate of change of the function will be 63.

The average rate of change of the function is used to find the slope of the graphed function which can be calculated by the change in y value divided by the change in x value.

The average rate of change of function f(x) in the interval [a,b] can be calculated as avearge rate of change= (f(b)- f(a))/(b-a)

Here given function is g(x) = 7x³-4

which is defined in the interval [-3,3].

So using the defination of the average rate of change, The average rate of change= (g(3)-g(-3))/(3-(-3))

= {(7(3³)-4)-(7*(-3)³-4)}/(3-(-3))

= {(189-4)-(-189-4)}/(3+3)

= (185-(-193))/6

= (185+193)/6

= 378/6

= 63

Therefore the average rate of change of the function will be 63.

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the answer to this question

Answers

I think it should be C. The y in f(x) is getting bigger and the graph g is decaying(decreasing)

PLEASE HELP!!!!!!!!!

Answers

The equivalent expression to ∑n(n+1) is ∑n²+∑n.

What is Equivalent expression?

Equivalent expressions are defined as algebraic expressions which give the same resulting expression. An algebraic expression (or) a variable expression is defined as a combination of terms by the operations such as addition, subtraction, multiplication, division.

Here, given expression;

       ∑(n(n+1))

     = ∑ (n² + n)

     = ∑n²+∑n

Thus, the equivalent expression to ∑n(n+1) is ∑n²+∑n.

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What is the semiannual interest payments of a 30 year bond with a face value of $50 million and a stated annual interest rate of 4 percent?

Answers

Based on the stated annual interest rate and the face value of the bond, the semiannual payments will be $1,000,000.

How can the semiannual interest payment be found?

The formula to find the semiannual payment is:

= (Face value x Stated annual interest rate) / 2 semi-annual periods per year

Solving gives:

= (50,000,000 x 4%) / 2

= 2,000,000 / 2

= $1,000,000

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can someone show me the steps to solve #83 please?

Answers

Answer:

  18π ≈ 56.5 meters

Step-by-step explanation:

The length of the arc of a circle is given by the formula ...

  s = rθ . . . . where r is the radius, and θ is the central angle in radians

Application

You are given the values of r and θ, so you only need to put them into the formula and simplify.

  s = (27 m)(2π/3) = 18π m

The length of the arc is 18π meters, about 56.5 meters.

What is the measure of complemnt angle 42

Answers

Answer:

Complemetry angle = 90° - 40°

= 50°

Hii!

___________________________________________________________

Answer:

[tex]\sf 48\textdegree[/tex]

Step-by-step explanation:

The sum of complementary angles is always 90 degrees.

We can find the complement of 90 by setting up an equation; (let x be the unknown angle).

[tex]\implies[/tex] 42+x=90

Subtract 42 from both sides

x=48

--

Hope that this helped! Best wishes.

--

A fire fighter sees a woman trapped in the building 81 feet up from the bottom floor. If the firetruck is parked 41 feet away from the bottom of the building, at what angle of elevation, to the nearest degree, shut the fire fighter extend the ladder to reach the woman?

Answers

Answer:
63 Degrees

Steps:
Use the Pythagorean Theorem to find the missing side.

a^2 + b^2 = c^2
c = SQRT(a^2 + b^2)

c = SQRT(81^2 + 41^2)
c = SQRT(8242)
c = 90.785

ASIN is the inverse of sine.

There were 582 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed.

Answers

Answer:

let the no. of students who failed the examination be X

therefore, no. of students passed = 5x

total no. of students = 582

5x + X = 582

6x = 582

x = 97

no. of students failed the examination = 97

no. of students passed = 97*5 = 485

Find the quotient: (9mn2)(−3m6n)33m10n3

Answers

The quotient is -27m/ 55.

What is Algebra?

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

(9mn²)(−3m*6n)÷33m*10n³

=9mn² *(-18mn) / 330mn³

= -162m²n³/ 330mn³

= -27m/ 55

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The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers. ( 4, 5)( -8, -9)(-5, -6)

Answers

Answer:

(-5, -6)

Step-by-step explanation:

The smaller integer is x.

The larger integer is x + 1.

x + 1 = 7 + 2x

-x = 6

x = -6

x + 1 = -6 + 1 = -5

Answer: (-5, -6)

If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
(f + g(x)>3 for all values of x
(f + g)(x)<3 for all values of x
(f + g)(x)>6 for all values of x
(f + g)(x)<6 for all values of x

Answers

Answer:   for all values of x

Step-by-step explanation:

[tex](f+g)(x)=|x|+9-6=|x|+3[/tex]

Since the range of y = |x| is [tex]y \geq 0[/tex], adding 3 to this shifts the graph 3 units up, giving us that [tex](f+g)(x) \geq 3[/tex] for all values of x.

Which property is not used to simplify the following expression?
(x + 5) - 2+ 7 = 2(x + 5) + 7.
= (2x + 10)+7
= 2x + (10 + 7)
= 2x + 17
O distributive property
O associative property of addition
O commutative property of multiplication
O commutative property of
addition

Answers

Answer:

Seitokachou-sama uhuuuyy7 is

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