x - 4y = 1 and 3x + 2y = -11. What is the solution to the system of equations?
Answers
Answer:
x=-3 y=-1
Step-by-step explanation:
The solution is
The value of x = -3
The value of y = -1
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 first equation be = A
Now , the value of A is
x - 4y = 1 be equation (1)
Let the first equation be = B
Now , the value of B is
3x + 2y = -11 be equation (2)
Now , on simplifying both equations , we get
Multiply equation (1) by 3 , we get
3x - 12y = 3 be equation (3)
Subtracting equation (2) from equation (3) , we get
-12y - 2y = 3 - ( -11 )
-14y = 14
Divide by -14 on both sides of the equation , we get
y = -1
So , the value of y = -1
Substitute the value of y in equation (1) , we get
x - 4y = 1
x - 4 ( -1 ) = 1
x + 4 = 1
Subtracting 4 on both sides of the equation , we get
x = -3
So , the value of x = -3
Hence , the value of x is -3 and value of y is -1
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Related Questions
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Explain the need for businesses to use forecasting models and evaluate the use of Time Series Analysis as one of these models
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Answer:
They can be used to develop alternate models with different factors.
Step-by-step explanation:
Please help me with this thank you!
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Answer:
y = -x + 1
Step-by-step explanation:
y=mx+b
m:slope= rise/run, the line goes down 1 and over 1 so it would be -1/1 which is -1
b:y-intercept: the line crosses the y-axis at 1
plug in m=-1 and b=1 into y=mx+b
y=-1x+1
y=-x+1
What is the answer
5+7+9+8=
Answers
Answer:
29
Step-by-step explanation:
D
Angles that have the same
_________________
are called
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angles.
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Answer:
Can’t trust anyone these days fake is becoming the new trend.
PLEASE HELP AND VERY FAST
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Answer:
B
Step-by-step explanation:
I am so sorry if that is incorrect
Factor each expression:
27+12
12+36
16+20
2x+8
30+12x
42x+49
Answers
4(3+9)
4(4+5)
2(x+4)
6(5+2x)
7(6x+7)
please help mee with this thing
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Which function rule represents the data in the table below ?
y = 4 + 5 x
y = 3 + 6x
y= 5 + 4x
y = 6 + 3x
Answers
2. 7 2/6 + 1/12 = M
A.7 3/18
B.7/18
C.7 2/12
D.7 5/12
3. 1 6/10 + 1 4/5 = ?
A. 2 10/15
B. 2 10/50
C. 3 4/10
D. 3 10/10
4. 5/8 + 1/2 = Z
A. 9/8
B. 6/8
C. 1
D. 1 5/8
5. 2/12 + 2/4 = R *
A. 4/16
B. 8/16
C. 4/12
D. 8/12
Answers
Answer:
2 a 3 d 4 c 5 b
Step-by-step explanation:
Middle school students were asked how they got to school each morning. There were 375 students who said they rode the bus. This number represents 60 percent of the school enrollment. How many students are enrolled?
Answers
Answer:
give me 1 second to answer with the correct answer
Find the mean, median, mode, and range for each set of data 21.5, 35.5, 49.5, 16.3, 35.5
Answers
Answer:
Mean :31.66
Median:35.5
Mode:35.5
Step-by-step explanation:
(hope this helps can i plz have brainlist :D hehe)
At a gourmet coffee shop. 3 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112. On the grid below, graph a line that shows how the cost of these coffee
beans varies proportionally with the number of pounds purchased. Use your graph to identify the unit rate for these coffee beans.
PLEASE ITS DUE IN A HOUR
Answers
Answer:
In the question, it says that this is a proportional relationship.
A proportional relationship is something like:
y = k*x
So when we have x = 0, we also need to have y = 0.
For the case in the question, this does not happen, so i guess that the actual question is:
"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."
We can define:
x = amount of coffee
y = price of that coffee
Now we have two pairs:
$56 to get 3.5lb
$112 to get 7lb
Then we have two points:
(3.5lb, $56)
(7lb, $112)
We can draw these two points and then connect them with a line, this line will represent the proportional relationship.
Now we need to look at the value 1 in the x-axis, then draw a vertical line
At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.
(you can see a rough sketch of this in the image below)
The solution is 1lb of coffee costs $16.
Here are the ingredients needed to make 8 pancakes
250ml milk
140 g flour
5 g butter
a) Simon makes 4 pancakes.
Answers
Answer: To make 4 pancakes, Simon will need 125 ml milk, 70 grams flour, and 2.5 grams of butter.
Step-by-step explanation:
If that is the recipe to make 8 pancakes, and Simon has 4 pancakes, then Simon needs to cut the recipe in half. So we can multiply each ingredient by 1/2.
250 x 1/2 = 125.
140 x 1/2 = 70.
5 x 1/2 = 2.5
In conclusion, to make 4 pancakes, Simon will need 125 ml milk, 70 grams of flour, and 2.5 grams of butter.
put a digit in the gap, such that the answer is a whole number 10x + 11 = 144
Answers
Answer:
13.3 or 13
Step-by-step explanation:
10x+11=144
10x=144-11
10x=133
x=133/10
x=13.3
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. y
Answers
Answer:
[tex]Volume = \frac{384}{7}\pi[/tex]
Step-by-step explanation:
Given (Missing Information):
[tex]y = x^\frac{3}{2}[/tex]; [tex]y = 8[/tex]; [tex]x=0[/tex]
Required
Determine the volume
Using Shell Method:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
First solve for a and b.
[tex]y = x^\frac{3}{2}[/tex] and [tex]y = 8[/tex]
Substitute 8 for y
[tex]8 = x^\frac{3}{2}[/tex]
Take 2/3 root of both sides
[tex]8^\frac{2}{3} = x^{\frac{3}{2}*\frac{2}{3}}[/tex]
[tex]8^\frac{2}{3} = x[/tex]
[tex]2^{3*\frac{2}{3}} = x[/tex]
[tex]2^2 = x[/tex]
[tex]4 =x[/tex]
[tex]x = 4[/tex]
This implies that:
[tex]a = 4[/tex]
For [tex]x=0[/tex]
This implies that:
[tex]b=0[/tex]
So, we have:
[tex]V = 2\pi \int\limits^a_b {p(y)h(y)} \, dy[/tex]
[tex]V = 2\pi \int\limits^4_0 {p(y)h(y)} \, dy[/tex]
The volume of the solid becomes:
[tex]V = 2\pi \int\limits^4_0 {x(8 - x^{\frac{3}{2}}}) \, dx[/tex]
Open bracket
[tex]V = 2\pi \int\limits^4_0 {8x - x.x^{\frac{3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{2+3}{2}}} \, dx[/tex]
[tex]V = 2\pi \int\limits^4_0 {8x - x^{\frac{5}{2}}} \, dx[/tex]
Integrate
[tex]V = 2\pi * [{\frac{8x^2}{2} - \frac{x^{1+\frac{5}{2}}}{1+\frac{5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{2+5}{2}}}{\frac{2+5}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{x^{\frac{7}{2}}}{\frac{7}{2}}]\vert^4_0[/tex]
[tex]V = 2\pi * [{4x^2 - \frac{2}{7}x^{\frac{7}{2}}]\vert^4_0[/tex]
Substitute 4 and 0 for x
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [{4*0^2 - \frac{2}{7}*0^{\frac{7}{2}}])[/tex]
[tex]V = 2\pi * ([{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}] - [0])[/tex]
[tex]V = 2\pi * [{4*4^2 - \frac{2}{7}*4^{\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^2^{*\frac{7}{2}}][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*2^7][/tex]
[tex]V = 2\pi * [{64 - \frac{2}{7}*128][/tex]
[tex]V = 2\pi * [{64 - \frac{2*128}{7}][/tex]
[tex]V = 2\pi * [{64 - \frac{256}{7}][/tex]
Take LCM
[tex]V = 2\pi * [\frac{64*7-256}{7}][/tex]
[tex]V = 2\pi * [\frac{448-256}{7}][/tex]
[tex]V = 2\pi * [\frac{192}{7}][/tex]
[tex]V = [\frac{2\pi * 192}{7}][/tex]
[tex]V = \frac{\pi * 384}{7}[/tex]
[tex]V = \frac{384}{7}\pi[/tex]
Hence, the required volume is:
[tex]Volume = \frac{384}{7}\pi[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units.
How to calculate the volume of a solid of revolution by shell method
Let be [tex]f(x) = x^{5/2}[/tex] and [tex]g(x) = 32[/tex], whose point of intersection is [tex](x,y) = (4, 32)[/tex]. Solid of revolution generated by revolving the plane region about the y-axis is defined by the following formula:
[tex]V = 2\pi\int\limits^{32}_0 {y\cdot g(y)} \, dy[/tex] (1)
If we know that [tex]g(y) = y^{2/5}[/tex], then the volume of the solid of revolution is:
[tex]V = 2\pi\int\limits^{32}_{0} {y^{7/5}} \, dy[/tex]
[tex]V = 2\pi\cdot \left(\frac{5}{12}\cdot y^{12/5}\right)\left|_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6} \cdot y^{12/5}|\limit_{0}^{32}[/tex]
[tex]V = \frac{5\pi}{6}\cdot 32^{12/5}[/tex]
[tex]V = \frac{10240\pi}{3}[/tex]
The volume of the solid of revolution generated by revolving the plane region about the y-axis is [tex]\frac{10240\pi}{3}[/tex] cubic units. [tex]\blacksquare[/tex]
Remark
The statement is incomplete. Complete form is shown below:
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis. [tex]y = x^{5/2}[/tex], [tex]y = 32[/tex], [tex]x = 0[/tex].
To learn more on solids of revolution, we kindly invite to check this verified question: https://brainly.com/question/338504
HELP ME PLEASEEE ASAPPP
Answers
When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes. Enter just the equation in slope-intercept form on this question.
Use the equation from the previous question to find the cost of renting the shoes.
Answers
Answer:
$7.25.
Step-by-step explanation:
Given that, when Brandon went bowling, it cost $ 4.95 per game, plus a one-time fee to rent the shoes, and knowing that Brandon played 5 games and paid $ 32, to find the cost to rent the shoes the following equation must be performed :
4.95 x 5 + X = 32
24.75 + X = 32
X = 32 - 24.75
X = 7.25
Thus, the cost of renting the shoes was $ 7.25.
How do you solve the following word problem
A small radio transmitter broadcasts in a 49 mile radius. If you drive along a straight line from a city 67 miles north of the transmitter to a second city 63 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
I must give the answer in miles and am unclear as to what equations to use and need details on what equations to use to get to the correct answer.
thanks for any help.
M
Answers
Answer:
Step-by-step explanation:
Let the transmitter be located at (0,0)
The equation for its effective coverage area will be a circle centered at (0,0) with a radius of 49.
So....the equation is
[tex]x^2 + y^2 = 49^2[/tex]
[tex]x^2 + y^2 = 2401[/tex]
Let the point 67 miles north of the transmitter be (0, 67)
Let the point 63 miles east of the transmitter be (63, 0)
The line connecting these (the line of travel) will have a slope of
[67 - 0] / [ 0 - 63] = -67/63
The equation of this line will be: y = (-67/63)x + 67
The signal will be received between the points:
(21.681, 43.942) and (45.192, 18.938)
The distance between these points is
[tex]\sqrt{[ ( 45.192 - 21.681)^2 + ( 43.942 - 18.938)^2 ] } = 34.322 miles[/tex] (1)
The distance between (0, 63) and (67, 0)
[tex]\sqrt{[ ( 63)^2 + ( 67)^2 ] }=91.97miles[/tex] (2)
So....you will receive the signal using (1)/ (2)
(34.322 / 91.97) x 100 ≈ 37% of the drive
Consider the following sets of sample data:
A: $28,200, $34,300, $32,300, $20,800, $36,900, $20,600, $20,000, $29,600, $35,400, $20,200, $20,200, $38,100, $31,300, $38,600
B: 4.77, 3.46, 4.62, 3.30, 3.13, 3.01, 4.69,3.55, 3.57, 4.59, 3.65
Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.
Answers
Answer:
25.3% and 17.6%
Step-by-step explanation:
Line EF intersects the parallel lines AB and CD.
What is the measure of angle J in the figure below?
Answers
Answer:
d, 125
Step-by-step explanation:
Answer:
d)125
Step-by-step explanation:
my REAL FINAL LAST 100 points, pls do me well this time... show work pls :(
Answers
Im not sure how to explain how to do a graph, but I hope this helps at least a bit!
~Direct Variation When two variables are related in such a way that the ratio of their values always remains the same, the two variables are said to be in direct variation. In simpler terms, that means if A is always twice as much as B, then they directly vary. If a gallon of milk costs $3, and I buy 1 gallon, the total cost is $3.~
Please help! I need by tomorrow!
Answers
Answer:
-1 = -6
-5 = 2
2 = 4
or it could be
-1,-1
-5, -1
2,2
Step-by-step explanation:
how would I do linear expression
Answers
Answer:
Linear expression is linear equations
Step-by-step explanation:
5 more than the product of 12 and 8 as a numerical expression.
Answers
Answer:
(12x8) + 5
Step-by-step explanation:
The product of 12 and 8 would be multiplication, so you can represent that as
(12x8) or 12x8
"5 more" simply means addition
So if you were to put all that together as a numerical expression it would be
(12x8) + 5
Hope this helps!
The answer is 12x8+5
what is the answer of this question?
Answers
Answer:
Its B.
Step-by-step explanation:
Because [tex]11^{2}[/tex] + [tex]12^{2}[/tex] does not equal [tex]15^{2}[/tex]
121 + 144 [tex]\neq[/tex] 225
265 [tex]\neq[/tex] 225
express using algebra A inscreased by 15%
Answers
Answer:
A(1.15)
Step-by-step explanation:
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PLS SHOW THE WORK!!!!!!!!
Answers
Now im not 100% sure, but this is what i got (for number one).
y=2x−1
Swap sides so that all variable terms are on the left hand side.
2x−1=y
Add 1 to both sides.
2x=y+1
Divide both sides by 2.
2x/2 = y+1/2
Dividing by 2 undoes the multiplication by 2.
So therefore, X = Y+1/2.
(i couldnt explain that very well im sorry, i dont know the 2nd answer im very bad at these)
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
HELP ME NOW ASAPPP UnU
Answers
Answer:
56.757 and if u divide it : 676.75
Step-by-step explanation:
uwu
The product of two consecutive room numbers is 210. Find the room numbers.
Answers
Answer:
104.5 and 105.5
Step-by-step explanation:
Unless there are such things are 1/2 room numbers, there is no answer. But algebraically, x + x + 1 = 2x + 1 = 210
2x + 1 = 210
2x = 209
x = 104.5
hey anyone mind helping out
Answers
Answer:
The answer is A
Step-by-step explanation:
