that there are infinitely many solutions to the equation $$xy = x + y$$.
i.e. $1 = \frac{1}{x} + \frac{1}{y}$
Let $$x = c/a$$ and $$y = c/b$$. We have $$1 = \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$$
$$\iff c = a + b$$.
So $$xy = x + y$$ is satisfied when $$x = c/a$$, $$y = c/b$$ where $$c = a + b$$, for any value of a and b.

e.g.: $$\frac{37}{15} + \frac{37}{22} = \frac{37}{15} \times \frac{37}{22} = \frac{1369}{330}$$.

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