SOLUTION: 2x+y+z=12 3x+2y+3z=24 x+4y+9z=34

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Question 1024070: 2x+y+z=12
3x+2y+3z=24
x+4y+9z=34
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%0A2%2C1%2C1%2C%0D%0A3%2C2%2C3%2C%0D%0A1%2C4%2C9%0D%0A%29%29
abs%28A%29=-2
.
.
.
A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A1%2C1%2C1%2C%0D%0A3%2C2%2C3%2C%0D%0A9%2C4%2C9%0D%0A%29%29
abs%28A%5Bx%5D%29=-14
.
.
.
A%5By%5D=%28matrix%283%2C3%2C%0D%0A2%2C1%2C1%2C%0D%0A3%2C3%2C3%2C%0D%0A1%2C9%2C9%0D%0A%29%29
abs%28A%5By%5D%29=18
.
.
.
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A2%2C1%2C1%2C%0D%0A3%2C2%2C3%2C%0D%0A1%2C4%2C9%0D%0A%29%29
abs%28A%5Bz%5D%29=-14
.
.
.
So then,
x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-14%29%2F%28-2%29=7
y=abs%28A%5By%5D%29%2Fabs%28A%29=%2818%29%2F%28-2%29=-9
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%28-14%29%2F%28-2%29=7