SOLUTION: I need to solve the following systems of three equations x+y+z=5 x-y+z=1 x-z=y+3 Thank you so very much

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Question 121386: I need to solve the following systems of three equations
x+y+z=5
x-y+z=1
x-z=y+3
Thank you so very much
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x+y+z=5
x-y+z=1
x-y-z=3

You didn't specify a solution method.
Hopefully a matrix solution is OK.
[A][x]=[b]
where
[A]=%28matrix%283%2C3%2C%0D%0A1%2C1%2C1%2C%0D%0A1%2C-1%2C1%2C%0D%0A1%2C-1%2C-1%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C5%2C1%2C3%29%29
We then need to find the inverse of [A]([Ainv]) and matrix multiply by [b] to get [x].
[A][x]=[b]
[x]=[Ainv][b]
[Ainv]=
[Ainv][b]=
[x]=%28matrix%283%2C1%2C4%2C2%2C-1%29%29
x=4
y=2
z=-1