Question

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`?

Answer 1

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.