SOLUTION: Use Gaussian elimination to solve. x+y+z=-3 2x-3y+6z=-21 -3x+5y=-14

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Question 1032459: Use Gaussian elimination to solve.
x+y+z=-3
2x-3y+6z=-21
-3x+5y=-14
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
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