You can 
put this solution on YOUR website! x+5y= 0
 x+6y+z= 1
 5x-y-z+= -101
Note: the number I write on the left
of each matrix tells what I'm going to 
multiply a row by and add it to the
row with a 1 left of it to get the
next matrix:
-1[1  5  0 |    0]
 1[1  6  1 |    1]
  [5 -1 -1 | -101]
-5[1  5  0 |    0]
  [0  1  1 |    1]
 1[5 -1 -1 | -101]
 1[1   5  0 |    0]
-5[0   1  1 |    1]
  [0 -26 -1 | -101]
  [1   0 -5 |   -5]
26[0   1  1 |    1]
 1[0 -26 -1 | -101]
   [1   0 -5 |  -5]
   [0   1  1 |   1]
÷25[0   0 25 | -75]
  1[1   0 -5 | -5]
   [0   1  1 |  1]
  5[0   0  1 | -3] 
   [1   0  0 |-20]
  1[0   1  1 |  1]
 -1[0   0  1 | -3]
   [1   0  0 |-20]
   [0   1  0 |  4]
   [0   0  1 | -3]
x=-20, y=4, z=-3
Edwin