# How do you solve the system x + y = 1 and y = 3x - 19 by graphing?

Nov 16, 2017

$x = 5$
$y = - 4$

$\left(5 , - 4\right)$

#### Explanation:

$y = 3 x - 19$
$y = - x + 1$

the graphs are:
graph{3x-19 [-10, 10, -5, 5]}
graph{-x+1 [-10, 10, -5, 5]}

the graphs are (with "zoom in"):
graph{3x-19 [4, 6, -5, -3]}
graph{-x+1 [4, 6, -5, -3]}

you can see that when $x = 5$ and $y = - 4$ the graphs combined, and therefore this is the result of systems by graphing.