Complex number 4

Algebra Level 2

{56x+33y=yx2+y233x56y=xx2+y2\large\begin{cases} {56x +33y = -\frac y{x^2+y^2} } \\ {33x -56y = \frac x{x^2+y^2} } \end{cases}

Given that x,yx,y are complex numbers that satisfy the system of equations above and that x+y |x| + |y| equals pq\frac pq for coprime positive integers p,qp,q, evaluate 6pq6p-q.

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