Problem:
Solve the following system of three equations: 
$-5 \sqrt{5} x+\sqrt{5} y+6 \sqrt{5} z-11 \sqrt{5}=0$, $-\sqrt{5} x-10 \sqrt{5} y+3 \sqrt{5} z-4 \sqrt{5}=0$, $3 \sqrt{5} x+9 \sqrt{5} y-3 \sqrt{5} z-5 \sqrt{5}=0$
Answer:
$x=\frac{64}{13}$, $y=\frac{11}{13}$, $z=\frac{226}{39}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/35915.txt'}