Answer
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Work Step by Step
We would want to use elimination in this case because one of the variable terms in both equations is exactly the same, differing only in sign. In this case, when we add the two equations together, we would eliminate the $x$ term, leaving the $y$ term, which we would be able to solve for. After we find the value for $y$, we could then substitute this value for $y$ into one of the equations to solve for $x$.