SAT Math Multiple Choice Question 11: Answer and Explanation

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Question: 11

1. y = 3x - 1

y + x = 1

In the system of equations above, if (x, y) is the solution to the system, what is the value of ?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

C Start by multiplying the second equation by 2 to clear the fractions. The equation becomes y + 2x = 2. To get it into the same form as the other equations, subtract 2x from both sides to get y = -2x + 2. Set the two x expressions equal to get 3x - 1 = -2x + 2. Add 2x and 1 to both sides, so the equation becomes 5x = 3, then divide by 5 to find that x = . Plug this value into the y = 3x - 1 to get . Finally, find the value of: , which is (C).

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