12.5.5 Olympic Algebra

Condition: Solve the system of equations: \ [\ left \ {\ bein {arry} {c} x+\ frac {12 x-5 y} {x^{2}+y^{2}} = 5 \\ y- {5 x+12 y} {x^{2}+y^{2}} =-1 \ End {Array} \ Right. \]