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Solve for x, y, z
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z=27-3x
Substitute 27-3x for y in the equation z=y.
x=-\frac{1}{3}z+9 z=a
Solve the second equation for x and the third equation for z.
x=-\frac{1}{3}a+9
Substitute a for z in the equation x=-\frac{1}{3}z+9.
y=27-3\left(9-\frac{1}{3}a\right)
Substitute 9-\frac{1}{3}a for x in the equation y=27-3x.
y=a
Calculate y from y=27-3\left(9-\frac{1}{3}a\right).
x=-\frac{1}{3}a+9 y=a z=a
The system is now solved.