SOLUTION: solve the system. x+y-2z=8 x+3y+2z=14 x-3y-2z=4

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Question 984414: solve the system.
x+y-2z=8
x+3y+2z=14
x-3y-2z=4
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%2C-2%2C%0D%0A1%2C3%2C2%2C%0D%0A1%2C-3%2C-2%29%29
abs%28A%29=16
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A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A8%2C1%2C-2%2C%0D%0A14%2C3%2C2%2C%0D%0A4%2C-3%2C-2%29%29
abs%28A%5Bx%5D%29=144
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.
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A%5By%5D=%28matrix%283%2C3%2C%0D%0A1%2C8%2C-2%2C%0D%0A1%2C14%2C2%2C%0D%0A1%2C4%2C-2%29%29
abs%28A%5By%5D%29=16
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.
.
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A1%2C1%2C8%2C%0D%0A1%2C3%2C14%2C%0D%0A1%2C-3%2C4%29%29
abs%28A%5Bz%5D%29=16
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.
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x=abs%28A%5Bx%5D%29%2Fabs%28A%29=144%2F16=9
y=abs%28A%5By%5D%29%2Fabs%28A%29=16%2F16=1
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=16%2F16=1