Solve for x, y, z
x=\frac{5-a}{4}
y=2-a
z=a
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x=-\frac{1}{4}z+\frac{5}{4} z=a
Solve the second equation for x and the third equation for z.
x=-\frac{1}{4}a+\frac{5}{4}
Substitute a for z in the equation x=-\frac{1}{4}z+\frac{5}{4}.
y=4\left(\frac{5}{4}-\frac{1}{4}a\right)-3
Substitute \frac{5}{4}-\frac{1}{4}a for x in the equation y=4x-3.
y=2-a
Calculate y from y=4\left(\frac{5}{4}-\frac{1}{4}a\right)-3.
x=-\frac{1}{4}a+\frac{5}{4} y=2-a z=a
The system is now solved.
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