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