Question 958270
Your matrix

{{{(matrix(3,4,1,1,1,2, 2,-3,1,-11,-1,2,-1,8))}}}


Find the pivot in the 1st column in the 1st row



{{{(matrix(3,4,1,1,1,2, 2,-3,1,-11,-1,2,-1,8))}}}



Eliminate the 1st column

{{{(matrix(3,4,1,1,1,2, 0,-5,-1,-15,0,3,0,10))}}}


Make the pivot in the 2nd column by dividing the 2nd row by -5



{{{(matrix(3,4,1,1,1,2, 0,1,1/5,3,0,3,0,10))}}}


Eliminate the 2nd column


{{{(matrix(3,4,1,0,4/5,-1, 0,1,1/5,0,0,3,-3/5,1))}}}



Make the pivot in the 3rd column by dividing the 3rd row by {{{-3/5}}}


{{{(matrix(3,4,1,0,4/5,-1, 0,1,1/5,3,0,0,1,-3/5))}}}



Eliminate the 3rd column

{{{(matrix(3,4,1,0,0,1/3, 0,1,0,10/3,0,0,1,-3/5))}}}

{{{x = 1/3}}}
{{{y = 10/3}}}
{{{z= -5/3}}}