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

Jun 14, 2018

$x = 3 , y = 1$

#### Explanation:

We seek a graphical solution of:

$\setminus \setminus x + 3 y = 6 \implies y = \frac{6 - x}{3}$

$4 x - 5 y = 7 \implies y = \frac{4 x - 7}{5}$

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 $\left(3 , 1\right)$ which we can readly validate via substitution