SOLUTION: Please help me sole the following for x, y, and z. and please show the work x+3y-6z=7 2x-y+z=1 x+2y+2z=-1

Algebra ->  Expressions-with-variables -> SOLUTION: Please help me sole the following for x, y, and z. and please show the work x+3y-6z=7 2x-y+z=1 x+2y+2z=-1      Log On


   

Question 1027944: Please help me sole the following for x, y, and z. and please show the work
x+3y-6z=7
2x-y+z=1
x+2y+2z=-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use Cramer's rule,
A=%28matrix%283%2C3%2C%0D%0A1%2C3%2C-6%2C%0D%0A2%2C-1%2C1%2C%0D%0A1%2C2%2C2%29%29
abs%28A%29=-43
.
.
.
A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A7%2C3%2C-6%2C%0D%0A1%2C-1%2C1%2C%0D%0A-1%2C2%2C2%29%29
abs%28A%5Bx%5D%29=-43
.
.
.
A%5By%5D=%28matrix%283%2C3%2C%0D%0A1%2C7%2C-6%2C%0D%0A2%2C1%2C1%2C%0D%0A1%2C-1%2C2%29%29
abs%28A%5By%5D%29=0
.
.
.
A=%28matrix%283%2C3%2C%0D%0A1%2C3%2C7%2C%0D%0A2%2C-1%2C1%2C%0D%0A1%2C2%2C-1%29%29
abs%28A%29=-43
.
.
.
So then,
x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-43%29%2F%28-43%29=1
y=abs%28A%5By%5D%29%2Fabs%28A%29=%280%29%2F%28-43%29=0
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%28-43%29%2F%28-43%29=1