Question

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

4x + y = 8
x − 2y = 2

Answer 1

Rearranging the first equation gives us :
y = 8 - 4x
Rearranging the second equation give us :
2y = x - 2
Taking the rearranged first equation, and multiplying 2 to both sides, we get :
2y = 16 - 8x
Since 2y = 16 - 8x and 2y = x - 2, then
16 - 8x = x - 2
-9x = - 18, therefore
x = 2