# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #x+y=11#, #x-y=-3#?

##### 1 Answer

#### Answer:

The equations are consistent with a single solution

#### Explanation:

**Using graphing (as requested)**

We can be picking arbitrary values for

Plotting these sample points on the plane and drawing a line through the points, we get a graph of the form:

We can repeat this process for

The sample solution points that I generated for this were

to generate the graph

If we combine these graphs on the same plane:

We see that the two lines intersect (and therefore are consistent)

at the coordinates