Solve for x, y, z
x=4
y=1
z=1
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x=2y-z+3
Solve x-2y+z=3 for x.
2\left(2y-z+3\right)+y+3z=12 2y-z+3+y+z=6
Substitute 2y-z+3 for x in the second and third equation.
z=-5y+6 y=1
Solve these equations for z and y respectively.
z=-5+6
Substitute 1 for y in the equation z=-5y+6.
z=1
Calculate z from z=-5+6.
x=2\times 1-1+3
Substitute 1 for z and 1 for y in the equation x=2y-z+3.
x=4
Calculate x from x=2\times 1-1+3.
x=4 y=1 z=1
The system is now solved.
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