Solve for x, y, z
x=\frac{a}{12}
y=\frac{a}{6}
z=a
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x=\frac{1}{12}z z=a
Solve the second equation for x and the third equation for z.
x=\frac{1}{12}a
Substitute a for z in the equation x=\frac{1}{12}z.
y=2\times \frac{1}{12}a
Substitute \frac{1}{12}a for x in the equation y=2x.
y=\frac{1}{6}a
Calculate y from y=2\times \frac{1}{12}a.
x=\frac{1}{12}a y=\frac{1}{6}a z=a
The system is now solved.
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