# SAT Math Multiple Choice Question 236: Answer and Explanation

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**Question: 236**

**11.** y = x^{2} - 2x

y = 2x - 1

This system has two solutions for (x, y). What is the larger value of x ?

- A. 2-
- B.
- C. 2 +
- D. 5

**Correct Answer:** C

**Explanation:**

C Start by setting the two equations equal to each other to get x^{2} - 2x = 2x - 1. Manipulate the equation into the ax^{2} + bx + c = 0 form, which is x^{2} - 4x + 1 = 0. Use the quadratic equation, which states that x = to get x = . Solve for x to get x = , then x = or x = , so x = 2 ±. The greater of the two possible values for x is x = 2 + . Therefore, the correct answer is (C).