# Solve the system of equations 2x-y=2, 5x+y=5 by graphing?

Apr 3, 2015

The answer is: $x = 1 , y = 0$

To solve by graphing, simply graph the lines. The intersection point will be the result. Because that point is on both lines so it satisfies both of the equations.

1) $2 x - y = 2$

2) $5 x + y = 5$

1)

graph{y=2x-2 [-10, 10, -5, 5]}

2)

graph{y=-5x+5 [-10, 10, -5, 5]}

The intersection point is $\left(1 , 0\right)$ so the result is:

$x = 1 , y = 0$