Answer
$$x=\frac{1}{2}, y=-\frac{1}{2}$$
Work Step by Step
Solving the two equations using substitution, we find:
$$ 7y-3\cdot \frac{7+9y}{5}=-5\\ y=-\frac{1}{2}\\ x=\frac{7+9\left(-\frac{1}{2}\right)}{5}\\ x=\frac{1}{2}$$
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