# How do you solve the system of equations y=3x-7 and y=-x+1 by graphing?

Feb 7, 2018

(2,-1)

#### Explanation:

graph both equations on the same graph.

red graph is $y = 3 x - 7$
blue graph is $y = - x + 1$

the point of intersect is (2, -1)

to check the solution:

substitute 2 for x in both equations

$y = 3 \left(2\right) - 7$
$y = - 1$

$y = - \left(2\right) + 1$
$y = - 1$

(2,-1) is the solution for system $y = 3 x - 7$ and $y = - x + 1$