Solve for x, y, z
x=1
y=2
z=7
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z=-3x-2y+14
Solve 3x+2y+z=14 for z.
x+y-3x-2y+14=10 2x+3y-\left(-3x-2y+14\right)=1
Substitute -3x-2y+14 for z in the second and third equation.
y=-2x+4 x=3-y
Solve these equations for y and x respectively.
x=3-\left(-2x+4\right)
Substitute -2x+4 for y in the equation x=3-y.
x=1
Solve x=3-\left(-2x+4\right) for x.
y=-2+4
Substitute 1 for x in the equation y=-2x+4.
y=2
Calculate y from y=-2+4.
z=-3-2\times 2+14
Substitute 2 for y and 1 for x in the equation z=-3x-2y+14.
z=7
Calculate z from z=-3-2\times 2+14.
x=1 y=2 z=7
The system is now solved.
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