Solve for x, y, z
x=\frac{a+5}{2}
y=-a
z=a
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x=\frac{5}{2}+\frac{1}{2}z z=a
Solve the second equation for x and the third equation for z.
x=\frac{5}{2}+\frac{1}{2}a
Substitute a for z in the equation x=\frac{5}{2}+\frac{1}{2}z.
y=-2\left(\frac{5}{2}+\frac{1}{2}a\right)+5
Substitute \frac{5}{2}+\frac{1}{2}a for x in the equation y=-2x+5.
y=-a
Calculate y from y=-2\left(\frac{5}{2}+\frac{1}{2}a\right)+5.
x=\frac{5}{2}+\frac{1}{2}a y=-a z=a
The system is now solved.
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