SAT Math Multiple Choice Question 261: Answer and Explanation

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Test Information

Question: 261

6.

If the graphs of the lines in the system of equations above intersect at (4, -1), what is the value of

  • A. -3
  • B.
  • C.
  • D. 2

Correct Answer: D

Explanation:

D

Difficulty: Medium

Category: Heart of Algebra / Systems of Linear Equations

Strategic Advice: If the graphs intersect at (4, -1), then the solution to the system is x = 4 and y = -1. This means you can substitute these values into both equations and go from there.

Getting to the Answer: Substitute the values of x and y into each equation and solve for A and B. Then, divide B by A.

Therefore,

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