# SAT Math Multiple Choice Question 797: Answer and Explanation

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**Question: 797**

**2.**

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 *x* – *y*?

- A. –4
- B. –2
- C. 2
- D. 4

**Correct Answer:** D

**Explanation:**

**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).