Get the value x+yx+y

x3+y2+x2y+xy=91x4+2x2y+y2=169 \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,yx,y satisfy the system of equations above, what is the value of x+yx+y?

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