<span><span>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</span></span>
