SAT Question 2c5c22d0: Nonlinear Equations In One Variable And Systems Of Equations In Two Variables answer and explanation with Desmos solution

Choice A is incorrect. In the $xy$-plane, a parabola and a line can intersect at no more than two points. Since the graph of the first equation is a parabola and the graph of the second equation is a line, the system cannot have more than 2 solutions.

Choice B is incorrect. There is a single ordered pair $(x,y)$ that satisfies both equations of the system.

Choice D is incorrect because the ordered pair $(1,-3)$ satisfies both equations of the system.