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