sat suite question viewer
How many solutions are there to the system of equations above?
Explanation
Choice C is correct. The second equation of the system can be rewritten as . Substituting
for y in the first equation gives
. This equation can be solved as shown below:
Substituting 1 for x in the equation gives
. Therefore,
is the only solution to the system of equations.
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 that satisfies both equations of the system. Choice D is incorrect because the ordered pair
satisfies both equations of the system.