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Solve for x, y, z
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y=-x
Calculate y from y=-x.
z=-x
Substitute -x for y in the equation z=y.
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=-\left(-1\right)a
Substitute -a for x in the equation y=-x.
y=a
Calculate y from y=-\left(-1\right)a.
x=-a y=a z=a
The system is now solved.