Solve for x, y, z
x=6
y=5
z=8
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x=-y-z+19
Solve x+y+z=19 for x.
-y-z+19+z=14 -y-z+19-y=1
Substitute -y-z+19 for x in the second and third equation.
y=5 z=-2y+18
Solve these equations for y and z respectively.
z=-2\times 5+18
Substitute 5 for y in the equation z=-2y+18.
z=8
Calculate z from z=-2\times 5+18.
x=-5-8+19
Substitute 5 for y and 8 for z in the equation x=-y-z+19.
x=6
Calculate x from x=-5-8+19.
x=6 y=5 z=8
The system is now solved.
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