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If 2x + y = 14 and x - y = 4, what is the value of x?

GRE Β· 2021 Β· quant slot 2
Question:
If 2x + y = 14 and x - y = 4, what is the value of x?

Options

(A) 2
(B) 4
(C) 6
(D) 8
(E) 10
Answer: (C) 6

Explanation:
Adding the equations: (2x + y) + (x - y) = 14 + 4, so 3x = 18, giving x = 6.

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