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

Answer:
The system has no solution
Step-by-step 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)
[tex]m=(0-2)/(-2-0)=1[/tex]
Red line
take the points (0,-3) and (3,0)
[tex]m=(0+3)/(3-0)=1[/tex]
The slopes are equal
The lines are parallel
Answer:
The system has no solution .
Step-by-step explanation:
I took the test.