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Solve for x, y, z
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y=-\frac{7}{3}+\frac{1}{3}x
Calculate y from y=\frac{1}{3}\left(x-7\right).
x=z z=a
Solve the second equation for x and the third equation for z.
x=a
Substitute a for z in the equation x=z.
y=-\frac{7}{3}+\frac{1}{3}a
Substitute a for x in the equation y=-\frac{7}{3}+\frac{1}{3}x.
x=a y=-\frac{7}{3}+\frac{1}{3}a z=a
The system is now solved.