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Solve for x, y, z
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2y=y-2z+3z+1 z=2y-2\left(y-2z\right)-3
Substitute y-2z for x in the second and third equation.
y=z+1 z=1
Solve these equations for y and z respectively.
y=1+1
Substitute 1 for z in the equation y=z+1.
y=2
Calculate y from y=1+1.
x=2-2
Substitute 2 for y and 1 for z in the equation x=y-2z.
x=0
Calculate x from x=2-2.
x=0 y=2 z=1
The system is now solved.