SOLUTION: HI! How do I solve these linear equations using a matrix? x+y-z=0 x-y+z=c-b x-y-z=a-c Thank you!

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Question 1127260: HI!
How do I solve these linear equations using a matrix?
x+y-z=0
x-y+z=c-b
x-y-z=a-c
Thank you!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
This is not taken to completion:

%28matrix%283%2C4%2C1%2C1%2C-1%2C0%2C1%2C-1%2C1%2Cc-b%2C1%2C-1%2C-1%2Ca-c%29%29

process,
--
E1-E2;
E2-E3;
from that result,
E2+E3;
returning again to the original matrix,
E1+E2:

%28matrix%282%2C4%2C2%2C0%2C0%2Cc-b%2C0%2C3%2C0%2C-a-c%29%29

This means system%28x=%28c-b%29%2F2%2Cy=-%28a%2Bc%29%2F3%29
Not yet finished, and not yet fully checked.
Other possible methods.