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Solve for x, y, z
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x=\frac{1}{2}\pi y=0 z=y
Multiply each equation by the least common multiple of denominators in it. Simplify.
y=0 x=\frac{1}{2}\pi z=y
Reorder the equations.
z=0
Substitute 0 for y in the equation z=y.
x=\frac{1}{2}\pi y=0 z=0
The system is now solved.