# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #4x - y = 6# and #3x + y = 1#?

##### 1 Answer

These equations are consistent

and have a solution at

#### Explanation:

For each of the two functions:

The equations are consistent if the lines cross and inconsistent if they do not.

If they are consistent, the point at which they cross will be the solution.

For

I chose the points

For

I chose the points

Plotting the points and drawing the connecting lines, I got:

The lines intersect to the equations are **consistent**

The solution point appears to be at (or close to)

(In fact that is the exact solution, but using graphing techniques we can not be absolutely certain of the accuracy).