Problem:
Solve the following system of three equations: 
$\frac{17 x}{2}+\frac{77 y}{4}-\frac{13 z}{4}-\frac{69}{4}=0$, $-\frac{71 x}{4}-14 y-\frac{69 z}{4}-\frac{11}{2}=0$, $-\frac{31 x}{2}+23 y+5 z-\frac{23}{4}=0$
Answer:
$x=\frac{161597}{746550}$, $y=\frac{66511}{106650}$, $z=-\frac{782171}{746550}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/6862.txt'}