SOLUTION: x+y+z=2 2x+5y+2z=4 -x+8y-3z=-8

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: x+y+z=2 2x+5y+2z=4 -x+8y-3z=-8      Log On


   



Question 1015259: x+y+z=2
2x+5y+2z=4
-x+8y-3z=-8

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%2C1%2C1%2C%0D%0A2%2C5%2C2%2C%0D%0A-1%2C8%2C-3%29%29
abs%28A%29=-6
.
.
A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A2%2C1%2C1%2C%0D%0A4%2C5%2C2%2C%0D%0A8%2C8%2C-3%29%29
abs%28A%5Bx%5D%29=-42
.
.
A%5By%5D=%28matrix%283%2C3%2C%0D%0A1%2C2%2C1%2C%0D%0A2%2C4%2C2%2C%0D%0A-1%2C8%2C-3%29%29
abs%28A%5By%5D%29=0
.
.
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A1%2C1%2C2%2C%0D%0A2%2C5%2C4%2C%0D%0A-1%2C8%2C8%29%29
abs%28A%5Bz%5D%29=30
.
.
x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-42%29%2F%28-6%29=7
y=abs%28A%5By%5D%29%2Fabs%28A%29=%280%29%2F%28-6%29=0
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%2830%29%2F%28-6%29=-5