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Here the matrix is {1,1,1,5; -1,2,3,44;2,-1,0,-25}

Eliminate the first column, so it becomes {1,0,0;1,3,-3;1,4,-2;5,49,-35}

Divide the second row by 3 and eliminate the second column to become {1,0,0; 0,1,0;-1/3,4/3,1;-34/3,49/3,7}

Lastly, Divide the third row by 2 and eliminate the third column, {1,0,0; 0,1,0; 0,0,1;-9,7,7}

Hence, {x,y,z}= {-9,7,7}

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