# SAT Math Multiple Choice Question 488: Answer and Explanation

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**Question: 488**

**8.**

If (x, y) is a solution to the system of equations above, what is the sum of x and y?

- A.
- B. -4
- C.
- D. -3

**Correct Answer:** B

**Explanation:**

B

Difficulty: Medium

Category: Heart of Algebra / Systems of Linear Equations

Strategic Advice: Because none of the variable terms has a coefficient of 1, solve the system of equations using elimination by addition (combining the equations). Before you choose an answer, check that you answered the right question (the sum of x and y).

Getting to the Answer: Multiply the top equation by 2 to eliminate the terms that have y's in them.

Now, substitute the result into either of the original equations and simplify to find y:

The question asks for the sum, so add x and y to get -3 + (-1) = -4.