Problem:
Solve the following system of three equations: 
$-10 \sqrt{2} x-15 \sqrt{2} y-17 \sqrt{2} z+\frac{21}{\sqrt{2}}=0$, $-5 \sqrt{2} x-\frac{17 y}{\sqrt{2}}-\frac{29 z}{\sqrt{2}}+\frac{27}{\sqrt{2}}=0$, $-\frac{25 x}{\sqrt{2}}-\frac{13 y}{\sqrt{2}}+\frac{z}{\sqrt{2}}+14 \sqrt{2}=0$
Answer:
$x=\frac{6323}{2070}$, $y=-\frac{985}{276}$, $z=\frac{1631}{828}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/48257.txt'}