Explanation
Correct answer: B.
Choice B is correct. A solution to a system of equations in the xy-plane is a point that lies on the graph of each equation in the system. The first equation given is . Substituting for in the second given equation yields , or . It follows that in the xy-plane, the point lies on the graph of each equation in the system. Therefore, the solution to the given system of equations in the xy-plane is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. The point doesn't lie on the graph of either equation in the given system.
Choice C
Choice C is incorrect. The point doesn't lie on the graph of the second equation in the given system.
Choice D
Choice D is incorrect. The point doesn't lie on the graph of the second equation in the given system.