Question

write and row reduce the augmented matrix to find the general solution:

2x - z = 2
6x + 5y + 3z = 7
2x - y = 4

Answer 1

see all the gory details here:

http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

just enter you matrix elements and it shows all the intermediate reductions.

Answer 2

2 0 -1 2
6 5 3 7
2 -1 0 4
--------------------------
1 0 -1/2 1
0 5 6 1
0 -1 1 2
------------------------------
1 0 -1/2 1
0 1 6/5 1/5
0 0 11/5 11/5
----------------------
1 0 -1/2 1
0 1 6/5 1/5
0 0 1 1
so z = 1
now work back up
get x = 3/2 y = -1 z = 1