Solve for y, z, x
x=4
y=1
z=1
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y=-z+2
Solve y+z=2 for y.
x-z+2=5
Substitute -z+2 for y in the equation x+y=5.
z=-x+5 x=z+3
Solve the second equation for z and the third equation for x.
x=-x+5+3
Substitute -x+5 for z in the equation x=z+3.
x=4
Solve x=-x+5+3 for x.
z=-4+5
Substitute 4 for x in the equation z=-x+5.
z=1
Calculate z from z=-4+5.
y=-1+2
Substitute 1 for z in the equation y=-z+2.
y=1
Calculate y from y=-1+2.
y=1 z=1 x=4
The system is now solved.
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