# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent x + y = 3; x + y = –1?

Jul 25, 2018

Inconsistent

#### Explanation:

Get both of the equations into slope intercept form:

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

You can graph them, however since both lines have the same slope of -1 and a different y-intercept, they are parallel to each other and never intersect, and therefore this system has no solutions and is inconsistent.