Solve the system of equations using any method you feel is appropriate. 

$\displaystyle {\left\lbrace\begin{array}{c} \frac{{{x}+{50}}}{{{y}-{50}}}={8}\\\frac{{{y}+{90}}}{{{x}-{90}}}={9}\end{array}\right.}$ 

$\displaystyle {\left({x},{y}\right)}=$

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