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tino4ka555 [31]
3 years ago
9

Find the solution of this system of equations. Separate the x- and y- values with a comma. x-2y=-24 and x-y=4

Mathematics
1 answer:
defon3 years ago
6 0
X - 2y = -24
x - y = 4

Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y  

Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
-24 + y = 4
Add 24 to both sides to isolate y.
y = 28

Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32

The solution is (32, 28).
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Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
Pachacha [2.7K]

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

3x - 4y = 6

Subtract sides -3x

- 3x + 3x - 4y =  - 3x + 6

- 4y =  - 3x + 6

Divided sides by -4

\frac{ - 4}{ - 4}y =  \frac{ - 3}{ - 4}x +  \frac{6}{ - 4} \\

y = \frac{3}{4}x -  \frac{3}{2}  \\

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

slope =  \frac{3}{4} \\

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We have following equation to find the point-slope form of the linear functions.

y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\

Now just need to put the slope and the given point in the above equation.

y - 6 =  \frac{3}{4} \times (x - 4) \\

Multiply sides by 4

4(y - 6) = 3(x - 4)

4y - 24 = 3x - 12

Plus sides 24

4y - 24 + 24 = 3x - 12 + 24

4y = 3x + 12

Subtract sides -3x

4y - 3x = 3x - 3x + 12

4y - 3x = 12

And we're done....♥️♥️♥️♥️♥️

4 0
3 years ago
You want Brainliest help me plsss
yKpoI14uk [10]

Answer:

the slope in the equation is 5, while the slope on the graph is 2

3 0
3 years ago
What is the answer to the following <br>-1+8=​
GenaCL600 [577]

Answer:

Step-by-step explanation:

-1+8=7

8 0
3 years ago
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Simplify the following expression 8x+9-6x-7
mamaluj [8]
8x + -6x = 2x 2 + 2x
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3 years ago
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Find x and y and i just need the answer, no need to show work.
vichka [17]

Answer:

x= 20

y = 60

Step-by-step explanation:

y = 3x

6(3x) = 360

3x = 360/6

3x = 60

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y = 60

7 0
2 years ago
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