Solve equation 2 for x:
2x - 2y = -12
2x = 2y -12
x = y - 6
.
Using the above definition of x, we plug it in to equation 1 and solve for y:
2x + 5y = 2
2(y - 6) + 5y = 2
2y - 12 + 5y = 2
7y - 12 = 2
7y = 14
y = 2
.
Plug the above back into equation 2 and solve for x:
2x - 2y = -12
2x - 2(2) = -12
2x - 4 = -12
2x = -8
x = -4
.
Solution:
x = -4
y = 2
