Problem:
Solve the following system of three equations: 
$-\frac{11 x}{\sqrt{3}}+9 \sqrt{3} y-\frac{11 z}{\sqrt{3}}-\frac{5}{\sqrt{3}}=0$, $-\frac{22 x}{\sqrt{3}}-\frac{5 y}{\sqrt{3}}-\frac{20 z}{\sqrt{3}}-\frac{23}{\sqrt{3}}=0$, $-\frac{23 x}{\sqrt{3}}+\frac{8 y}{\sqrt{3}}-14 \sqrt{3} z+\frac{4}{\sqrt{3}}=0$
Answer:
$x=-\frac{28288}{13397}$, $y=-\frac{2399}{13397}$, $z=\frac{16310}{13397}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/44122.txt'}