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Solve for x, y, z
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x=-2y+3
Solve x+2y=3 for x.
-2y+3+y+z=5 -2y+3+3y=7
Substitute -2y+3 for x in the second and third equation.
z=y+2 y=4
Solve these equations for z and y respectively.
z=4+2
Substitute 4 for y in the equation z=y+2.
z=6
Calculate z from z=4+2.
x=-2\times 4+3
Substitute 4 for y in the equation x=-2y+3.
x=-5
Calculate x from x=-2\times 4+3.
x=-5 y=4 z=6
The system is now solved.