SOLUTION: How do you solve x+2y+3z=11, x+y+z=5, 2x+2y+z=3 using Matrices (Row Operations)?

Question 865697: How do you solve
x+2y+3z=11,
x+y+z=5,
2x+2y+z=3
using Matrices (Row Operations)?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!

Add (-1 * row1) to row2
1 2 3 11
0 -1 -2 -6
2 2 1 3
Add (-2 * row1) to row3
1 2 3 11
0 -1 -2 -6
0 -2 -5 -19
Divide row2 by -1
1 2 3 11
0 1 2 6
0 -2 -5 -19
Add (2 * row2) to row3
1 2 3 11
0 1 2 6
0 0 -1 -7
Divide row3 by -1
1 2 3 11
0 1 2 6
0 0 1 7
Add (-2 * row3) to row2
1 2 3 11
0 1 0 -8
0 0 1 7
Add (-3 * row3) to row1
1 2 0 -10
0 1 0 -8
0 0 1 7
Add (-2 * row2) to row1
1 0 0 6
0 1 0 -8
0 0 1 7

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