SAT Math Multiple Choice Question 647: Answer and Explanation

Home > SAT Test > SAT Math Multiple Choice Practice Tests

Test Information

Question: 647

2. x - y = -4

x - 2y = -6

Which of the following ordered pairs (x, y) satisfies the system of equations above?

  • A. (22, 2)
  • B. (22, 4)
  • C. (4, 8)
  • D. (4, 28)

Correct Answer: A

Explanation:

A

Algebra (linear systems) EASY

Original system:

x - y = - 4

Simplify:

x - 2y = -6

Subtract corresponding sides of equation:

(x- y) - (x - 2y) = -4 - (-6)

Substitute y = 2 into first equation to find x: x - 2 = -4

Add 2:

x = -2

Therefore the ordered pair is (-2, 2).

Previous       Next