186k views
5 votes
Solve the system by substitution. -3x+3=y -x+3y=29

1 Answer

1 vote

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

User Mykey
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories