Weird equations

Algebra Level 3

{xy+yx=20xx+yy=65 \large \begin{cases} {x\sqrt{y} + y\sqrt{x} = 20} \\ { x\sqrt{x} + y\sqrt{y} = 65 } \end{cases}

What is the number of integral solutions (x,y)(x,y) that satisfy the system of equations above?

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