Question x-5-y-
Which of the following points is the solution to the given system of equations in the xy-plane?
x = 5 y = x - 8 Which of the following points x , y
Medium-difficulty · SAT Math · Systems of Two Linear Equations — Substitution method. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
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 .
Choice A is incorrect. The point doesn't lie on the graph of either equation in the given system.
Choice C is incorrect. The point doesn't lie on the graph of the second equation in the given system.
Choice D is incorrect. The point doesn't lie on the graph of the second equation in the given system.
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