# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #3x + y = -3# and #6x - 6y = -30#?

##### 1 Answer

The system is a **consistent** set of equations with solution at

#### Explanation:

Since both given equations are linear

we only need 2 coordinate pairs for each to establish their lines.

(We can pick any values for one variable and solve for the other to find these points).

Here are the sample points I used:

Plotting each pair of coordinates and drawing a line through each set gives a graph:

The lines intersect at a single point and therefore are consistent.

Examining the graph, we see that the intersection point happens at