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