SOLUTION: 3x+5y-Z=-3, 2x+y-3z=-9, x+3y+2z=7 to where x,y z=integer

Algebra ->  Equations -> SOLUTION: 3x+5y-Z=-3, 2x+y-3z=-9, x+3y+2z=7 to where x,y z=integer      Log On


   

Question 908716: 3x+5y-Z=-3, 2x+y-3z=-9, x+3y+2z=7 to where x,y z=integer
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use Cramer's rule,
A=%28matrix%283%2C3%2C3%2C5%2C-1%2C2%2C1%2C-3%2C1%2C3%2C2%29%29
abs%28A%29=-7
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A%5Bx%5D=%28matrix%283%2C3%2C-3%2C5%2C-1%2C-9%2C1%2C-3%2C7%2C3%2C2%29%29
abs%28A%5Bx%5D%29=-14
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A%5By%5D=%28matrix%283%2C3%2C3%2C-3%2C-1%2C2%2C-9%2C-3%2C1%2C7%2C2%29%29
abs%28A%5By%5D%29=7
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A%5Bz%5D=%28matrix%283%2C3%2C3%2C5%2C-3%2C2%2C1%2C-9%2C1%2C3%2C7%29%29
abs%28A%5Bz%5D%29=-28
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x=abs%28A%5Bx%5D%29%2Fabs%28A%29=%28-14%29%2F%28-7%29=2
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y=abs%28A%5By%5D%29%2Fabs%28A%29=%287%29%2F%28-7%29=-1
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z=abs%28A%5Bz%5D%29%2Fabs%28A%29=%28-28%29%2F%28-7%29=4
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