Solve for x, y, z
x=2
y=3
z=3
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x=-y-z+8
Solve x+y+z=8 for x.
2\left(-y-z+8\right)+3y+2z=19 4\left(-y-z+8\right)+2y+3z=23
Substitute -y-z+8 for x in the second and third equation.
y=3 z=-2y+9
Solve these equations for y and z respectively.
z=-2\times 3+9
Substitute 3 for y in the equation z=-2y+9.
z=3
Calculate z from z=-2\times 3+9.
x=-3-3+8
Substitute 3 for y and 3 for z in the equation x=-y-z+8.
x=2
Calculate x from x=-3-3+8.
x=2 y=3 z=3
The system is now solved.
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