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Can i get help i just need to double check my work

Can i get help i just need to double check my work-example-1

1 Answer

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Answer: (x,y) = (2,-2)

This means x = 2 and y = -2

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Step-by-step explanation:

Let's solve the first equation for y

5x+y = 8

y = 8-5x

Then we'll plug this into the second equation

-3x + 2y = -10

-3x + 2( y ) = -10

-3x + 2(8-5x) = -10

-3x + 16 - 10x = -10

-13x + 16 = -10

-13x = -10-16

-13x = -26

x = -26/(-13)

x = 2

Use this value to find y

y = 8-5x

y = 8-5(2)

y = 8-10

y = -2

The ordered pair solution is (x,y) = (2,-2)

This is where the two lines cross.

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To check the answer, plug the x and y coordinates into each equation. We should get the same number on both sides of each equation.

For the first equation, we have:

5x+y = 8

5(2)-2 = 8

10-2 = 8

8 = 8

That works. Repeat for the second equation

-3x+2y = -10

-3(2)+2(-2) = -10

-6 - 4 = -10

-10 = -10

That checks out as well. Both equations are true when x = 2 and y = -2. The answer is confirmed.

User Yantao Xie
by
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