# How do you solve the system by graphing x-3y=-3 and x+3y=9?

Mar 8, 2018

If you rearrange both equations into $y = m x + b$ format, you can then find the intersection point of the two lines to get the solution for x & y (3 & 2 respectively).

#### Explanation:

First, rearrange the equations:
$y = \frac{x}{3} + 1$
$y = - \frac{x}{3} + 3$

plotting these two equations gives you the following graph:
graph{(y-(-x/3+3))(y-(x/3+1))=0 [-1, 8, -1, 4]}

the intersection of which is your solution (3,2), or x=3, y=2