Question 1092399
{{{ x - 4y = 11 }}}
{{{ 2x + y = 4 }}}
{{{ -x - 3y + z = 3 }}}

{{{
(
   matrix( 3, 4,
     1, -4, 0, 11,
     2, 1, 0, 4,
     -1, -3, 1, 3)
)
}}}


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

	{{{(matrix(3,4, 1,-4, 0,11,2,1, 0,4,-1,-3,1,3))}}}

Eliminate the 1st column

{{{(matrix(3,4, 1,-4,0,11,  0,9,0,-18, 0,-7,1,14))}}}

Make the pivot in the 2nd column by dividing the 2nd row by 9


{{{(matrix(3,4,1,-4,0,11,0,1,0	,-2,0,-7,1,14))}}}


Eliminate the 2nd column


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

Find the pivot in the 3rd column in the 3rd row

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

Solution set:

{{{x[1] = 3}}}
{{{x[2] = -2}}}
{{{x[3] = 0}}}