SOLUTION: 3x+y+4z=0 5x+y+3z=1 x-3y-4z=5

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Question 1005432: 3x+y+4z=0
5x+y+3z=1
x-3y-4z=5
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%0A3%2C1%2C4%2C%0D%0A5%2C1%2C3%2C%0D%0A1%2C-3%2C-4%29%29
abs%28A%29=-26
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.
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A%5Bx%5D=%28matrix%283%2C3%2C%0D%0A0%2C1%2C4%2C%0D%0A1%2C1%2C3%2C%0D%0A5%2C-3%2C-4%29%29
abs%28A%5Bx%5D%29=-13
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.
.
A%5By%5D=%28matrix%283%2C3%2C%0D%0A3%2C0%2C4%2C%0D%0A5%2C1%2C3%2C%0D%0A1%2C5%2C-4%29%29
abs%28A%5By%5D%29=39
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.
.
A%5Bz%5D=%28matrix%283%2C3%2C%0D%0A3%2C1%2C0%2C%0D%0A5%2C1%2C1%2C%0D%0A1%2C-3%2C5%29%29
abs%28A%5Bz%5D%29=0
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.
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x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-13%29%2F%28-26%29=1%2F2
y=abs%28A%5By%5D%29%2Fabs%28A%29=%2839%29%2F%28-26%29=-3%2F2
z=abs%28A%5Bz%5D%29%2Fabs%28A%29=0%2F%28-26%29=0