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