Answer
$$y=-1,\:x=2$$
Work Step by Step
Solving using the elimination method, we obtain:
$$ \begin{bmatrix}3x-y=7\\ x+y=1\end{bmatrix}\\ \begin{bmatrix}3x-y=7\\ 3x+3y=3\end{bmatrix}\\ \begin{bmatrix}3x-y=7\\ 4y=-4\end{bmatrix}\\ y=-1,\:x=2$$
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