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