Grind Your Systems!

Algebra Level 2

{52x+9y=215x12y=1\large\begin{cases} \begin{aligned} \frac { 5 }{ 2x } +\frac { 9 }{ y } & =2 \\ \frac { 15 }{ x } -\frac { 12 }{ y } & =1 \end{aligned} \end{cases}

Given that xx and yy satisfy the system of equations above, find x+y+xyx+y+xy.

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