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If $(x + y, 1) = (3, x - y)$ then $(x, y)$ is

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(1,2)

(2,1)

(-2,1)

(1,-2)

answer is B.

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Detailed Solution

$\begin{array}{l} (x + y, 1) = (3, x - y) \\ x + y = 3 \Rightarrow x = 3 - y \\ x - y = 1 \Rightarrow 3 - y - y = 1 \Rightarrow 3 - 2 y = 1 \Rightarrow y = 1 \\ x = 3 - 1 = 2 \\ (x, y) = (2, 1) \end{array}$

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