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PLEASE HELP, QUESTION IS IN THE IMAGE!

PLEASE HELP, QUESTION IS IN THE IMAGE!
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PLEASE HELP, QUESTION IS IN THE IMAGE!

PLEASE HELP, QUESTION IS IN THE IMAGE!-example-1
User Ivan Shamatov
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\begin{array}{llll} 6z-5x+3=-5y\\ -6y-3-6z=0\\ 0=-3y-z-5 \end{array}\implies \begin{array}{rrrll} -5x+5y+6z&=&-3\\ 0x-6y-6z&=&3\\ 0x+8y+1z&=&-5 \end{array} \\\\\\ ~\hspace{12em} \left[ \begin{array}r -5&5&6&-3\\ 0&-6&-6&3\\ 0&8&1&-5 \end{array} \right]

User The Segfault
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