# Get the value $x+y$

\begin{aligned} x^3 + y^2 + x^2 y + xy & = & 91 \\ x^4 + 2x^2 y + y^2 &= & 169 \\ \end{aligned}

If positive integers $x,y$ satisfy the system of equations above, what is the value of $x+y$?

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