Problem:
Solve the following system of two equations: 
$-12 \sqrt{2} x-11 \sqrt{2} y-6 \sqrt{2}=0$, $-\sqrt{2} x-7 \sqrt{2} y-14 \sqrt{2}=0$
Answer:
$x=\frac{112}{73}$, $y=-\frac{162}{73}$
{'source': 'AMPS', 'file': 'amps/mathematica/algebra/system_of_equations/14752.txt'}