SOLUTION: Solve this system with three linear equations.... 4x+3y-5z=-29 3x-7y-z=-19 2x+5y+2z=-10 Thanks!!!

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve this system with three linear equations.... 4x+3y-5z=-29 3x-7y-z=-19 2x+5y+2z=-10 Thanks!!!      Log On


   

Question 329663: Solve this system with three linear equations....
4x+3y-5z=-29
3x-7y-z=-19
2x+5y+2z=-10
Thanks!!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
[A]=%28matrix%283%2C3%2C4%2C3%2C-5%2C3%2C-7%2C-1%2C2%2C5%2C2%29%29
[x]=%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29
[b]=%28matrix%283%2C1%2C-29%2C-19%2C-10%29%29
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[A][x]=[b]
[x]=[A]inv[b]
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det[A]=-205
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[A]inv=%281%2F205%29%2A%28matrix%283%2C3%2C-9%2C-31%2C-38%2C-8%2C18%2C-11%2C29%2C-14%2C-37%29%29
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[x]=[A]inv[b]=%28matrix%283%2C1%2C-6%2C0%2C1%29%29
%28matrix%283%2C1%2Cx%2Cy%2Cz%29%29=%28matrix%283%2C1%2C-6%2C0%2C1%29%29