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

##### 1 Answer

Dec 26, 2017

#### Answer:

Graph both equations on the same set of axes to see if there is a point of intersection. If there is, then there is at least one solution and it is consistent; otherwise it is inconsistent.

#### Explanation:

Graph both equations on the same set of axes to see if there is a point of intersection.

graph{(y-(-2x+4))(y-(-x+3))=0 [-1.882, 4.277, -0.307, 2.77]}

There is a solution at

Since there is at least one solution, this is consistent.