Solve the simultaneous equations
\( \qquad\qquad\, \left(\frac{1}{x}+\frac{1}{y}\right)^2 = \frac{2}{xy} + 157 \)
\( \left(\frac{1}{x}\right)^2 - \left(\frac{1}{y}\right)^2 = 85 \)
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