# SAT Math Multiple Choice Question 647: Answer and Explanation

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**Question: 647**

**2.** *x* - *y* = -4

*x* - 2*y* = -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* - 2*y*) = -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).