SAT Math Multiple Choice Question 797: Answer and Explanation

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Question: 797


The graph of a system of linear equations is shown above. If the ordered pair (x, y) represents the solution to this system, what is the value of xy?

  • A. –4
  • B. –2
  • C. 2
  • D. 4

Correct Answer: D



Difficulty: Easy

Category: Heart of Algebra / Systems of Linear Equations

Strategic Advice: Don't overthink a question like this. You do not need to write the equations of the lines. The solution to a system of linear equations represented graphically is the point of intersection, which you can clearly see on the graph.

Getting to the Answer: According to the graph, the lines intersect, or cross each other, at (3, -1). The question asks for the value of x - y, so subtract to arrive at the answer 3 - (-1) = 3 + 1 = 4, which is (D).

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