SOLUTION: What are the solutions for x,y, and z in the following equations: x-y+9z=-27 2x-4y-z=-1 3x=6y-3z=27

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: What are the solutions for x,y, and z in the following equations: x-y+9z=-27 2x-4y-z=-1 3x=6y-3z=27       Log On


   

Question 388139: What are the solutions for x,y, and z in the following equations:
x-y+9z=-27
2x-4y-z=-1
3x=6y-3z=27
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C-1%2C9%2C2%2C-4%2C-1%2C3%2C6%2C-3%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C-27%2C-1%2C27%29%29
.
.
[A][x]=[b]
[x]=[A]inv[b]
.
.
Using matrix inversion,
[x]=%28matrix%283%2C1%2C2%2C2%2C-3%29%29