The system of equations graphed below has how many solutions ?

Answer:
Option A. 0 solutions.
Step-by-step explanation:
The system of equations graphed has two equations.
[tex]y=-\frac{3}{2}x+5[/tex]
and [tex]y=-\frac{3}{2}-3[/tex]
Here equation 1 and 2 both have the same slope = -3/2
Therefore these lines are parallel.
Since parallel lines never meet at a point so the solutions of this systems of the equations will be zero.
Option A. 0 is the correct option.