Problem:
Solve the following system of three equations: 
$-12 x-25 y+22 z-24=0$, $-11 x-9 y+12 z+19=0$, $13 x+19 y+9 z-10=0$
Answer:
$x=\frac{20653}{4691}$, $y=-\frac{12626}{4691}$, $z=\frac{2035}{4691}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/40449.txt'}