Question x-5-y-

1.4 Systems of Two Linear Equations - Substitution method
0:00

x = 5

y = x - 8

Which of the following points x,y is the solution to the given system of equations in the xy-plane?

A.

0,0

B.

5,-3

C.

5,-8

D.

5,8

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 x,y that lies on the graph of each equation in the system. The first equation given is x = 5 . Substituting 5 for x in the second given equation yields y=5-8, or y = -3 . It follows that in the xy-plane, the point 5,-3 lies on the graph of each equation in the system. Therefore, the solution to the given system of equations in the xy-plane is 5,-3.

Choice A is incorrect. The point 0,0 doesn't lie on the graph of either equation in the given system.

Choice C is incorrect. The point 5,-8 doesn't lie on the graph of the second equation in the given system.

Choice D is incorrect. The point 5,8 doesn't lie on the graph of the second equation in the given system.