Answer
$$ y=15,\:x=12$$
Work Step by Step
Solving the system of equations using elimination, we find:
$$ \begin{bmatrix}\frac{1}{3}x+\frac{1}{5}y=7\\ \frac{1}{3}x-\frac{4}{5}y=-8\end{bmatrix}\\ -y=-15\: \\ y=15 \\ x=12$$
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