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Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work.
4x - y + 3z    =   12
x + 4y + 6z    = -32
5x + 3y + 9z    =   20

Respuesta :

LammettHash

Note that adding the first two equations gives

[tex](4x-y+3z)+(x+4y+6z)=12+(-32)\implies5x+3y+9z=-20[/tex]

But the third equation says [tex]5x+3y+9z=20[/tex], so there is no solution.

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