Solve for x, y, z
x=-8
y=12
z=-4
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y=-2x+z
Solve 2x+y-z=1-1 for y.
x-2x+z+z=2-2 3x-2x+z-2z=-1-3
Substitute -2x+z for y in the second and third equation.
x=2z z=x+4
Solve these equations for x and z respectively.
z=2z+4
Substitute 2z for x in the equation z=x+4.
z=-4
Solve z=2z+4 for z.
x=2\left(-4\right)
Substitute -4 for z in the equation x=2z.
x=-8
Calculate x from x=2\left(-4\right).
y=-2\left(-8\right)-4
Substitute -8 for x and -4 for z in the equation y=-2x+z.
y=12
Calculate y from y=-2\left(-8\right)-4.
x=-8 y=12 z=-4
The system is now solved.
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