# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent #2x+y=0# and #5x-y=7#?

##### 1 Answer

graph{(2x+y)(5x-y-7)=0 [-10, 10, -5, 5]}

#### Explanation:

Given that,

Replacing,

Replacing

The values are consistent.

**Alternatively** ,

Consider

and for

You would get two lines in the graph. Mark the point of intersection and that's the solution for the equations.

Here, the lines meet at (1,-2). Therefore the solution is,

P.S. to get the points to plot on the graph for both the equations, replace

~Hope this helps!