x = 5 y = x - 8 Which of the following points x , y is the solution to

Question

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?

Accepted Answer

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.

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