SOLUTION: I have solved this but I don't know whether it is correct or not. I would like a second opinion please and thank you. Set up an augmented matrix and use the Gaussian eliminatio

Algebra ->  Matrices-and-determiminant -> SOLUTION: I have solved this but I don't know whether it is correct or not. I would like a second opinion please and thank you. Set up an augmented matrix and use the Gaussian eliminatio      Log On


   

Question 866165: I have solved this but I don't know whether it is correct or not. I would like a second opinion please and thank you.
Set up an augmented matrix and use the Gaussian elimination method to solve each system.
2x+y-3z=-7
x+2y+z=2
3x-y+2z=-9
I got that x=-17/6, y=5/3, and z=1.
Z, I am alright with, but the fractions for answers is throwing me. Any help is greatly appreciated.
Thank you in advance for the help.
Found 2 solutions by DrBeeee, KMST:
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
I generated a very long solution (over an hour we my slow typing), but it disappeared on me. The answer is (x,y,z) = (-3,2,1)

Answer by KMST(5398) About Me  (Show Source):
You can put this solution on YOUR website!
%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C-3%2C-5%2C-11%2C3%2C-1%2C2%2C-9%29%29--%28R%5B3%5D-3R%5B1%5D%29-->%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C-3%2C-5%2C-11%2C0%2C-7%2C-1%2C-15%29%29
%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C-3%2C-5%2C-11%2C0%2C-7%2C-1%2C-15%29%29--%28R%5B2%5D%2F%28-3%29%29-->%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C5%2F3%2C11%2F3%2C0%2C-7%2C-1%2C-15%29%29--%28R%5B3%5D%2F%28-7%29%29-->%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C5%2F3%2C11%2F3%2C0%2C1%2C1%2F7%2C15%2F7%29%29
%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C5%2F3%2C11%2F3%2C0%2C1%2C1%2F7%2C15%2F7%29%29--%28-R%5B3%5D%2BR%5B2%5D%29-->-->%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C5%2F3%2C11%2F3%2C0%2C0%2C32%2F21%2C32%2F21%29%29--%28R%5B3%5D%2821%2F32%29%29-->%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C5%2F3%2C11%2F3%2C0%2C0%2C1%2C1%29%29
%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C5%2F3%2C11%2F3%2C0%2C0%2C1%2C1%29%29--%28R%5B2%5D-%285%2F3%29R%5B3%5D%29-->-->%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C0%2C2%2C0%2C0%2C1%2C1%29%29
%28matrix%283%2C4%2C1%2C2%2C1%2C2%2C0%2C1%2C0%2C2%2C0%2C0%2C1%2C1%29%29--%28R%5B1%5D-2R%5B2%5D-R%5B3%5D%29-->-->%28matrix%283%2C4%2C1%2C0%2C0%2C-3%2C0%2C1%2C0%2C2%2C0%2C0%2C1%2C1%29%29
So the answer is system%28x=-3%2Cy=2%2Cz=1%29