# Can you find the ordered pairs?

Algebra Level 3

$\large {\begin{cases}{2^{x^2+y} + 2^{x+y^2} = 128} \\ { \sqrt{x} + \sqrt{y} = \sqrt{8} } \end{cases} }$

Find the sum of all real numbers $x,y$ that satisfy the system of equations above.

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