\left\{ \begin{array} { l } { \frac { ( x + 2 ) ( y + 3 ) } { 2 } = x y / 2 + 50 } \\ { \frac { ( x - 2 ) ^ { 2 } ( y - 2 ) } { 2 } = x y / 2 - 32 } \end{array} \right.
Solve for x, y
x=\frac{-3\sqrt{253}\sin(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})-\sqrt{759}\cos(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+35}{3}\approx 1.592920426\text{, }y=\frac{3\sqrt{253}\sin(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+\sqrt{759}\cos(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+59}{2}\approx 44.610619361
x=\frac{2\sqrt{759}\cos(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+35}{3}\approx 30.003529543\text{, }y=\frac{-2\sqrt{759}\cos(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+59}{2}\approx 1.994705686
x=\frac{3\sqrt{253}\sin(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})-\sqrt{759}\cos(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+35}{3}\approx 3.403550031\text{, }y=\frac{\sqrt{759}\cos(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})-3\sqrt{253}\sin(\frac{\arccos(\frac{20606\sqrt{759}}{576081})}{3})+59}{2}\approx 41.894674953
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