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If 3x + 2y = 16 and x - y = 2, what is the value of x?

GRE Β· 2022 Β· quant slot 2
Question:
If 3x + 2y = 16 and x - y = 2, what is the value of x?

Options

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6
Answer: (C) 4

Explanation:
From x - y = 2, we get x = y + 2. Substituting: 3(y + 2) + 2y = 16, so 3y + 6 + 2y = 16, giving 5y = 10, thus y = 2. Therefore x = 2 + 2 = 4.

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