# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #3y − x = 4# and #y + 2x = −1#?

##### 1 Answer

Graph each of the linear equations using a pair of points for each.

If the graphed lines intersect then the equations are consistent (and have a mutual solution at their intersection point).

#### Explanation:

For the equation

I found (arbitrary) solutions:

For the equation

I found (again, arbitrary) solutions:

Using each pair of points, we can plot lines:

or, combining them on a single graph:

We can see that the equations are consistent (since they intersect).