If you solve the first equation for y, you get 2y = 14 - 2x 2y = 14 + (-2x) 2y = -2x + 14 2y/2 = (-2x)/2 + 14/2 ... divide every term by 2 y = -x + 7
This result of y = -x+7 is identical to the second equation in the system. So the two graphs are going to be the same. We only produce one line. One graph is right on top of the other. The two lines will intersect infinitely many times. Any point on the blue line is a solution to the system.
