# How do you solve #x+3y=6#, #4x-5y=7# by graphing?

##### 1 Answer

Jun 14, 2018

#x=3, y=1#

#### Explanation:

We seek a graphical solution of:

# \ \ x+3y=6 => y = (6-x)/3#

#4x-5y=7=> y = (4x-7)/5#

Thus we graph each of the functions on the same axis:

graph{(x+3y-6)(4x-5y-7)=0 [-10, 10, -5, 5]}

And we look for the point of intersection an we conclude the intersection is