Question

What is the value of the x variable in the solution to the following system of equations?

Answer 1

Multiply the bottom equation by 2 and you'll get

4x + 2y = 12
2x - 2y = 6

Then combine the two equations and the y's will cancel out and you'll get

6x = 18

Divide by 6.

x = 3

Answer 2

4x+2y = 12
  x+  y = 3
                       Times the bottom one by -2
4x+2y=12
2x-2y=-6
                      Cancel out the 2y and -2y and add 4x and 2x, 12 and -6 together
6x=6
                      divide by 6 for x
x=1
                      your answer is 1