SOLUTION: x+ y+z= 3 2x+y+z=2 3x+2y-2z=3

Algebra ->  Matrices-and-determiminant -> SOLUTION: x+ y+z= 3 2x+y+z=2 3x+2y-2z=3      Log On


   

Question 929306: x+ y+z= 3
2x+y+z=2
3x+2y-2z=3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Cramer's rule,
A=%28matrix%283%2C3%2C%0D%0A1%2C1%2C1%2C%0D%0A2%2C1%2C1%2C%0D%0A3%2C2%2C-2%29%29
abs%28A%29=4+
.
.
.
A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A3%2C1%2C1%2C%0D%0A2%2C1%2C1%2C%0D%0A3%2C2%2C-2%29%29
abs%28A%5Bx%5D%29=-4+
.
.
.
A%5By%5D=%28matrix%283%2C3%2C%0D%0A1%2C3%2C1%2C%0D%0A2%2C2%2C1%2C%0D%0A3%2C3%2C-2%29%29
abs%28A%5By%5D%29=14+
.
.
.
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A1%2C1%2C3%2C%0D%0A2%2C1%2C2%2C%0D%0A3%2C2%2C3%29%29
abs%28A%5Bz%5D%29=+2
.
.
.
x=abs%28A%5Bx%5D%29%2Fabs%28A%29=-4%2F4=-1
.
.
y=abs%28A%5By%5D%29%2Fabs%28A%29=14%2F4=7%2F2
.
.
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=2%2F4=1%2F2
.
.
.
.
.