# Complex number 4

Algebra Level 3

$\large\begin{cases} {56x +33y = -\frac y{x^2+y^2} } \\ {33x -56y = \frac x{x^2+y^2} } \end{cases}$

Given that $x,y$ are complex numbers that satisfy the system of equations above and that $|x| + |y|$ equals $\frac pq$ for coprime positive integers $p,q$, evaluate $6p-q$.

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