Explanation
Correct answer: B.
Choice B is correct. A solution to a system of equations must be the solution to each equation in the system. It follows that if is a solution to the system, the point lies on the graph in the xy-plane of each equation in the system. The point that lies on each graph of the system of linear equations shown is their intersection point . Therefore, the solution to the system 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 lies on one, but not both, of the graphs of the linear equations shown.
Choice C
Choice C is incorrect. The point lies on one, but not both, of the graphs of the linear equations shown.
Choice D
Choice D is incorrect. The point lies on one, but not both, of the graphs of the linear equations shown.