SOLUTION: solve: 1/x-4/y-3/z=19 5/x+3/y-4/z=-7 3/x+1/y+3/z=-18 the second one is : write the partial fraction decomposition of an improper rational expression ex: x^2+8

Algebra ->  Systems-of-equations -> SOLUTION: solve: 1/x-4/y-3/z=19 5/x+3/y-4/z=-7 3/x+1/y+3/z=-18 the second one is : write the partial fraction decomposition of an improper rational expression ex: x^2+8      Log On


   

Question 318583: solve:
1/x-4/y-3/z=19
5/x+3/y-4/z=-7
3/x+1/y+3/z=-18

the second one is : write the partial fraction decomposition of an improper rational expression
ex:
x^2+8x/x^2+x-5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C1%2C-4%2C-3%2C5%2C3%2C-4%2C3%2C1%2C3%29%29
[x]=%28matrix%283%2C1%2C1%2Fx%2C1%2Fy%2C1%2Fz%29%29
[b]=%28matrix%283%2C1%2C19%2C-7%2C18%29%29
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[A][x]=[b]
[A]inv[A][x]=[A]inv[b]
[x]=[A]inv[b]
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det[A]=133
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[A]inv=%281%2F133%29%2A%28matrix%283%2C3%2C13%2C9%2C25%2C-27%2C12%2C-11%2C-4%2C-13%2C23%29%29
[x]=%281%2F133%29%2A%28matrix%283%2C1%2C634%2C-795%2C429%29%29
So then
1%2Fx=634%2F133
highlight%28+x=133%2F634%29
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1%2Fy=-795%2F133
highlight%28+y=-133%2F795%29
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1%2Fz=429%2F133
highlight%28+z=133%2F429%29
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%28x%5E2%2B8x%29%2F%28x%5E2%2Bx-5%29
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Check your denominator.
It does not factor simply.