Answer:
C. one solution
Step-by-step explanation:
The number of solutions can be found from the number of intersection points.
There are 2 lines, a parabola (curve) and a horizontal line that is parallel to the x axis.
We see that there is 1 point of intersection between the 2 lines, at (2,1)-right 2 and up 1. Therefore, this non linear system has 1 solution.
C. one solution is the correct answer.
I don't see a photo attached
Step-by-step explanation:

Y-6=1/2(x-5) in slope intercept form
y-6=1/2x -5/2. multiply by 2 to remove fractions
2y-12=x-5. write in correct order
x - 2y = -7 standard form