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Solve for x, y, z
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x=-\frac{4}{5}+\frac{1}{5}z z=a
Solve the second equation for x and the third equation for z.
x=-\frac{4}{5}+\frac{1}{5}a
Substitute a for z in the equation x=-\frac{4}{5}+\frac{1}{5}z.
x=-\frac{4}{5}+\frac{1}{5}a y=0 z=a
The system is now solved.