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$$\frac{xy}{x + y} = \frac{6}{5}, \frac{xy}{y - x} = 6 \Rightarrow (x, y) =$$
(-2, -3)
$$\left(-\frac{1}{2}, -\frac{1}{3}\right)$$
$$\left(\frac{1}{2}, \frac{1}{3}\right)$$
(2, 3)
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