# A part of my university entrance exam

Algebra Level 3

$\begin{cases} (1-y)\sqrt{x-y} + x = 2+(x-y-1)\sqrt y \\ 2y^2 - 3x + 6y + 1 = 2\sqrt{x-2y} -\sqrt{4x-5y-3} \end{cases}$

Given that $$x$$ and $$y$$ are integers that satisfy the system of equations above, find the value of $$x+y$$.

×