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