SOLUTION: 2x-y+3z=4 , x+y+z=2 , 3x+y-z=2 solve by Cramer rule

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Question 1090487: 2x-y+3z=4 , x+y+z=2 , 3x+y-z=2 solve by Cramer rule
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%28matrix%283%2C3%2C%0D%0A2%2C-1%2C3%2C%0D%0A1%2C1%2C1%2C%0D%0A3%2C1%2C-1%29%29
abs%28A%29=-14
,
,
,
A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A4%2C-1%2C3%2C%0D%0A2%2C1%2C1%2C%0D%0A2%2C1%2C-1%29%29
abs%28A%5Bx%5D%29=-12
,
,
,
A%5By%5D=%28matrix%283%2C3%2C%0D%0A2%2C4%2C3%2C%0D%0A1%2C2%2C1%2C%0D%0A3%2C2%2C-1%29%29
abs%28A%5By%5D%29=-4
,
,
,
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A2%2C-1%2C4%2C%0D%0A1%2C1%2C2%2C%0D%0A3%2C1%2C2%29%29
abs%28A%5Bz%5D%29=-12
,
,
,
So,
x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-12%29%2F%28-14%29=6%2F7
y=abs%28A%5By%5D%29%2Fabs%28A%29=%28-4%29%2F%28-14%29=2%2F7
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%28-12%29%2F%28-14%29=6%2F7