How many solutions are there to this nonlinear system

Option A is the correct option.

Step-by-step explanation:

In the question the two functions are given in which function 1 is a parabola and function 2 is a straight line.

Since line intersect the parabola on two distinct points as shown the solutions of this non linear system will be two.

The coordinates of the solutions will be (0, -2) and (5, 3).

Therefore option A is the answer.