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