FTW Equation

Algebra Level 4

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

Non-zero real numbers \(x,y\) satisfy the equation above.

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

This problem is part of the set Hard Equations
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