SOLUTION: Using the method of substitution to help solve for this equation. x+3y=1 -2x+2y=6 I am stuck this is what I have so far x+3(-2x+6)=1 x-6+24=1 Am I on the right track?

Algebra ->  Equations -> SOLUTION: Using the method of substitution to help solve for this equation. x+3y=1 -2x+2y=6 I am stuck this is what I have so far x+3(-2x+6)=1 x-6+24=1 Am I on the right track?      Log On


   

Question 938238: Using the method of substitution to help solve for this equation.
x+3y=1
-2x+2y=6
I am stuck this is what I have so far
x+3(-2x+6)=1
x-6+24=1
Am I on the right track?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First solve -2x+2y=6 for y.

-2x+2y=6

2y=6+2x

2y = 2x+6

y = x+3 ... divide every term by 2

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Now turn to x+3y=1


x+3y=1

x+3(x+3)=1 ... plug in y = x+3

x+3x+9 = 1

4x+9 = 1

4x = 1-9

4x = -8


I'll let you finish solving for x. Once you have the value of x, use it in y = x+3 to find y.

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