SOLUTION: EXAMINE FOR CONSISTENCY AND SOLVE X+2Y-Z-3=0 3X-Y+2Z-1=0 2X-2Y+3Z-2=0 X-Y+Z+1=0

Question 864774: EXAMINE FOR CONSISTENCY AND SOLVE
X+2Y-Z-3=0
3X-Y+2Z-1=0
2X-2Y+3Z-2=0
X-Y+Z+1=0
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
X = -1, Y = 4, Z = 4
Add (-3 * row1) to row2
1 2 -1 3 0
0 -7 5 -8 0
2 -2 3 2 0
1 -1 1 -1 0
Add (-2 * row1) to row3
1 2 -1 3 0
0 -7 5 -8 0
0 -6 5 -4 0
1 -1 1 -1 0
Add (-1 * row1) to row4
1 2 -1 3 0
0 -7 5 -8 0
0 -6 5 -4 0
0 -3 2 -4 0
Divide row2 by -7
1 2 -1 3 0
0 1 -5/7 8/7 0
0 -6 5 -4 0
0 -3 2 -4 0
Add (6 * row2) to row3
1 2 -1 3 0
0 1 -5/7 8/7 0
0 0 5/7 20/7 0
0 -3 2 -4 0
Add (3 * row2) to row4
1 2 -1 3 0
0 1 -5/7 8/7 0
0 0 5/7 20/7 0
0 0 -1/7 -4/7 0
Divide row3 by 5/7
1 2 -1 3 0
0 1 -5/7 8/7 0
0 0 1 4 0
0 0 -1/7 -4/7 0
Add (1/7 * row3) to row4
1 2 -1 3 0
0 1 -5/7 8/7 0
0 0 1 4 0
0 0 0 0 0
Add (5/7 * row3) to row2
1 2 -1 3 0
0 1 0 4 0
0 0 1 4 0
0 0 0 0 0
Add (1 * row3) to row1
1 2 0 7 0
0 1 0 4 0
0 0 1 4 0
0 0 0 0 0
Add (-2 * row2) to row1
1 0 0 -1 0
0 1 0 4 0
0 0 1 4 0
0 0 0 0 0

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