SOLUTION: Solve each system x+z=0 x+y+2z=3 y+z=2

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Question 259170: Solve each system
x+z=0
x+y+2z=3
y+z=2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use equation 1,
x%2Bz=0
z=-x
Substitute this value in eqs.2 and 3,
x%2By%2B2z=3
x%2By-2x=3
4.-x%2By=3
.
.
.
y%2Bz=2
y-x=2
5.-x%2By=2
As you see eqs. 4 and 5 have the same left hand side and different right hand side. The system of equations is inconsistent.
No solution.