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Solve the system by substitution. -3x+3=y -x+3y=29

1 Answer

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Answer: x = −2, y= 9

Explanation:

Solving for X

-3x+3=y

-x+3y=29

Plug the top equation into the bottom one

-x+3(-3x+3)=29

Distribute

-x - 9x + 9 = 29

combine like terms

-10x + 9 = 29

-10x = 20

Divide the x

x = -2

Solving for Y:

Plug the value x into any of the equations'

-3(-2) + 3 = y

Distribute

6 + 3 = y

y = 9

To check if that is right, plug x into the other equation

-(-2) + 3y = 29

Distribute and combine like terms

2 + 3 y = 29

3y = 27

y = 9

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