Finding the x-coordinate

Question

What is the value of the x- coordinate of the solution to the following system of equations? 

 

3x+y=3

-2x + 2y = -10

Answer 1

3x+y=3

-2x + 2y = -10

 

Re-write to solve for y:

 

y = -3x + 3

y = x - 5

 

Since both equation now = y, you can set them equal:

 

-3x + 3 = x - 5

 

Solve for x