Question 1032459
x+y+z=-3
2x-3y+6z=-21
-3x+5y=-14 
* below is the initial matrix
1 1 1 -3
2 -3 6 -21
-3 5 0 -14
* below is the solution
* The website http://www.gregthatcher.com/Mathematics/GaussJordan.aspx
* was used.  The website provides a solver.
Add (-2 * row1) to row2
1 	1 	1 	-3
0 	-5 	4 	-15
-3 	5 	0 	-14

Add (3 * row1) to row3
1 	1 	1 	-3
0 	-5 	4 	-15
0 	8 	3 	-23

Divide row2 by -5
1 	1 	1 	-3
0 	1 	-4/5 	3
0 	8 	3 	-23

Add (-8 * row2) to row3
1 	1 	1 	-3
0 	1 	-4/5 	3
0 	0 	47/5 	-47

Divide row3 by 47/5
1 	1 	1 	-3
0 	1 	-4/5 	3
0 	0 	1 	-5

Add (4/5 * row3) to row2
1 	1 	1 	-3
0 	1 	0 	-1
0 	0 	1 	-5

Add (-1 * row3) to row1
1 	1 	0 	2
0 	1 	0 	-1
0 	0 	1 	-5

Add (-1 * row2) to row1
1 	0 	0 	3
0 	1 	0 	-1
0 	0 	1 	-5