FTW Equation

Algebra Level 4

(x2+2013x)(y2+2013y)=2013 \left( \sqrt { { x }^{ 2 }+2013 } -x \right ) \left (\sqrt { { y }^{ 2 }+2013 } -y\right )=2013

Non-zero real numbers x,yx,y satisfy the equation above.

What is the value of 2013x+y5x+y\dfrac { 2013x+y }{ 5x+y } ?

This problem is part of the set Hard Equations
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