Solve for x, y, z
x=\frac{a}{4}+2
y=\frac{5a}{4}+8
z=a
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x=\frac{1}{4}z+2 z=a
Solve the second equation for x and the third equation for z.
x=\frac{1}{4}a+2
Substitute a for z in the equation x=\frac{1}{4}z+2.
y=5\left(2+\frac{1}{4}a\right)-2
Substitute 2+\frac{1}{4}a for x in the equation y=5x-2.
y=8+\frac{5}{4}a
Calculate y from y=5\left(2+\frac{1}{4}a\right)-2.
x=\frac{1}{4}a+2 y=8+\frac{5}{4}a z=a
The system is now solved.
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