Explanation
Correct answer: A.
Choice A is correct. The solution to a system of equations is the coordinates of the intersection point of the graphs of the equations in the -plane. Based on the graph, the solution to the given system of equations is best approximated as . In the -plane, the graph of is a horizontal line on which every -coordinate is , and the graph of is a vertical line on which every -coordinate is . These graphs intersect at the point . Therefore, the system of equations in choice A has the same solution as the given system.
Desmos solution:
Note: The intersection point of the two graphed lines is (1.5, 0), which matches the system y = 0 and x = 1.5 in choice A.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice B
Choice B is incorrect. If graphed in the -plane, this system would intersect at the point , not .
Choice C
Choice C is incorrect. If graphed in the -plane, this system would intersect at the point , not .
Choice D
Choice D is incorrect. If graphed in the -plane, this system would intersect at the point , not .