Final answer:
The system of equations has one solution.
Step-by-step explanation:
To find the number of solutions for a system of equations, we need to determine if the lines represented by the equations intersect, are parallel, or are the same line. In this case, we have the system:
y = -3/10x - 7
y = 1/2x + 9/2
We can see that the slope of the first equation is -3/10, and the slope of the second equation is 1/2. Since the slopes are different, the lines will intersect at a single point. Therefore, the system has one solution.