# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x+y = 12# and #x-y = 6#?

##### 1 Answer

Jul 3, 2017

#### Explanation:

We have:

First, let's solve both equations for

Then, let's graph both of these rearranged equations:

Image from Desmos

As you can see from the graph, the system is consistent because there is a point of intersection, i.e. a solution to the system of equations.

The solutions to the system of equations are