Answer
The solution set is (-3,-5,6,-3).
Work Step by Step
Starting from our original matrix:
1 -2 0 3 -2
0 1 0 -4 7
0 0 1 0 6
0 0 0 1 -3
We do the following operations:
Add 4 times row 4 to row 2
1 -2 0 3 -2
0 1 0 0 -5
0 0 1 0 6
0 0 0 1 -3
Subtract 3 times row 4 from row 1
1 -2 0 0 7
0 1 0 0 -5
0 0 1 0 6
0 0 0 1 -3
Add 2 times row 2 from row 1
1 0 0 0 -3
0 1 0 0 -5
0 0 1 0 6
0 0 0 1 -3