Question

A system of equations is shown on the graph below.
How many solutions does this system have?

Answer 1

The system has no solution

Explanation:

we know that

The solution of the system of two linear equations, is the intersection point both lines.

In this problem

The lines are parallel, the lines don't intersect

therefore

The system has no solution

Remember that, if two lines are parallel then their slope are equal

Verify that the slopes are the same

Blue line

take the points (0,2) and (-2,0)

`m=(0-2)/(-2-0)=1`

Red line

take the points (0,-3) and (3,0)

`m=(0+3)/(3-0)=1`

The slopes are equal

The lines are parallel