SAT Math Multiple Choice Question 602: Answer and Explanation

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Question: 602

2. Images

x2 + y2 = 9

y = x2 - 4

A system of two equations and their graphs in the xy-plane are shown above. How many solutions does the system have?

  • A. One
  • B. Two
  • C. Three
  • D. Four

Correct Answer: D

Explanation:

D

Advanced Mathematics (nonlinear systems)

EASY

The solutions to the system correspond to the points of intersection of the two graphs. The figure shows four such intersection points.

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