SOLUTION: what is the solution to this 3 by 3 system of equations 2x-y-z=0 x-2z=1 x+y-5z=3

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Question 966802: what is the solution to this 3 by 3 system of equations
2x-y-z=0
x-2z=1
x+y-5z=3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
From eq. 2,
x=1%2B2z
Substitute into eq. 1,
2%281%2B2z%29-y-z=0
2%2B4z-y-z=0
4.-y%2B3z=-2
Substitute into eq. 3,
1%2B2z%2By-5z=3
5.y-3z=2
Equation 4 and 5 are the same equation.
There are infinitely many solutions.