The document contains 32 sets of 4 linear equations with variables x1, x2, x3, x4. Each set represents a system of linear equations that can be solved for the values of the variables.

1. 1 E1 - 9 x1 - 7 x2 - 2 x3 + 8 x4 = + 1
E2 + 1 x1 + 5 x2 - 2 x3 + 2 x4 = - 33
E3 + 8 x1 - 6 x2 + 9 x3 - 5 x4 = + 120
E4 + 1 x1 + 1 x2 - 8 x3 - 5 x4 = - 59
2 E1 - 5 x1 + 4 x2 + 7 x3 + 3 x4 = - 39
E2 + 7 x1 + 7 x2 + 8 x3 + 7 x4 = - 3
E3 + 1 x1 - 1 x2 - 5 x3 - 6 x4 = + 3
E4 - 2 x1 + 6 x2 + 2 x3 - 8 x4 = - 54
3 E1 + 4 x1 + 4 x2 + 2 x3 + 6 x4 = - 4
E2 - 7 x1 + 1 x2 + 6 x3 + 9 x4 = - 78
E3 + 4 x1 - 1 x2 + 9 x3 - 4 x4 = - 48
E4 + 4 x1 - 7 x2 + 7 x3 - 5 x4 = - 61
4 E1 + 6 x1 + 2 x2 + 2 x3 + 9 x4 = - 105
E2 + 7 x1 - 6 x2 + 3 x3 - 8 x4 = - 23
E3 + 7 x1 - 8 x2 - 8 x3 + 1 x4 = + 61
E4 + 7 x1 - 5 x2 + 2 x3 - 1 x4 = - 41

2. 5 E1 - 5 x1 + 3 x2 + 6 x3 - 2 x4 = + 10
E2 - 2 x1 - 1 x2 - 2 x3 + 4 x4 = + 28
E3 - 9 x1 + 9 x2 - 8 x3 + 3 x4 = + 103
E4 - 7 x1 + 1 x2 - 8 x3 - 8 x4 = + 8
6 E1 + 5 x1 - 8 x2 + 5 x3 - 5 x4 = - 89
E2 + 8 x1 - 5 x2 + 8 x3 + 7 x4 = + 10
E3 - 5 x1 - 8 x2 + 8 x3 - 6 x4 = - 183
E4 + 7 x1 + 9 x2 + 4 x3 - 3 x4 = + 79
7 E1 - 1 x1 - 4 x2 - 8 x3 + 7 x4 = + 74
E2 - 8 x1 + 1 x2 - 4 x3 + 3 x4 = + 62
E3 + 6 x1 - 4 x2 - 8 x3 + 7 x4 = + 32
E4 - 8 x1 - 6 x2 + 8 x3 + 6 x4 = + 92
8 E1 + 7 x1 + 6 x2 - 4 x3 - 7 x4 = - 81
E2 - 8 x1 - 4 x2 + 5 x3 + 3 x4 = + 115
E3 + 8 x1 + 3 x2 - 2 x3 + 5 x4 = - 132
E4 - 6 x1 + 2 x2 - 4 x3 + 3 x4 = - 8

3. 9 E1 - 8 x1 - 2 x2 - 1 x3 + 5 x4 = + 30 13
E2 - 5 x1 + 5 x2 + 2 x3 + 7 x4 = - 12
E3 - 6 x1 - 8 x2 + 3 x3 + 5 x4 = + 84
E4 - 4 x1 + 2 x2 + 9 x3 - 3 x4 = + 80
10 E1 - 4 x1 + 2 x2 + 8 x3 - 5 x4 = + 6 14
E2 + 3 x1 - 2 x2 + 9 x3 - 2 x4 = - 30
E3 - 9 x1 + 3 x2 + 3 x3 - 8 x4 = + 73
E4 - 2 x1 + 6 x2 + 4 x3 - 9 x4 = + 20
11 E1 + 5 x1 - 4 x2 + 3 x3 - 4 x4 = - 30 15
E2 - 8 x1 - 6 x2 + 7 x3 - 3 x4 = + 96
E3 - 1 x1 + 3 x2 - 5 x3 - 4 x4 = - 33
E4 - 4 x1 - 7 x2 + 4 x3 - 8 x4 = + 43
12 E1 - 8 x1 + 7 x2 + 5 x3 + 8 x4 = - 26 16
E2 - 2 x1 - 6 x2 - 4 x3 - 3 x4 = + 72
E3 + 2 x1 + 9 x2 + 2 x3 + 1 x4 = - 78
E4 - 9 x1 + 1 x2 - 1 x3 - 9 x4 = + 29

4. E1 + 5 x1 + 8 x2 + 5 x3 - 2 x4 = - 18
E2 + 1 x1 - 6 x2 + 5 x3 + 4 x4 = - 48
E3 + 7 x1 - 6 x2 + 6 x3 - 3 x4 = - 55
E4 - 7 x1 - 3 x2 + 5 x3 + 7 x4 = - 19
E1 + 1 x1 + 5 x2 + 8 x3 - 3 x4 = - 16
E2 + 9 x1 - 5 x2 - 7 x3 - 2 x4 = + 105
E3 + 4 x1 + 1 x2 - 3 x3 + 4 x4 = + 41
E4 - 6 x1 - 4 x2 - 4 x3 - 7 x4 = - 15
E1 + 6 x1 + 8 x2 + 5 x3 + 5 x4 = + 30
E2 + 4 x1 + 5 x2 - 8 x3 + 6 x4 = - 25
E3 - 7 x1 + 6 x2 - 3 x3 - 2 x4 = + 100
E4 - 6 x1 + 5 x2 + 3 x3 + 3 x4 = + 87
E1 + 4 x1 - 6 x2 - 9 x3 + 8 x4 = - 71
E2 + 2 x1 + 2 x2 + 2 x3 - 4 x4 = + 60
E3 + 1 x1 - 4 x2 - 5 x3 - 4 x4 = + 15
E4 + 9 x1 + 1 x2 - 5 x3 + 6 x4 = + 24

5. 17 E1 + 8 x1 - 8 x2 - 4 x3 - 6 x4 = + 32
E2 + 9 x1 - 2 x2 + 1 x3 + 8 x4 = + 105
E3 + 1 x1 + 8 x2 - 1 x3 - 3 x4 = + 23
E4 + 2 x1 + 7 x2 - 3 x3 + 2 x4 = + 53
18 E1 - 6 x1 - 1 x2 + 1 x3 + 7 x4 = + 9
E2 + 8 x1 + 3 x2 - 6 x3 + 7 x4 = + 13
E3 + 2 x1 + 6 x2 - 4 x3 + 1 x4 = + 61
E4 - 8 x1 + 7 x2 + 6 x3 - 5 x4 = + 65
19 E1 + 6 x1 - 5 x2 - 2 x3 + 2 x4 = - 76
E2 - 3 x1 + 7 x2 + 3 x3 - 6 x4 = + 75
E3 + 5 x1 - 7 x2 + 7 x3 + 7 x4 = - 145
E4 + 7 x1 + 7 x2 + 9 x3 - 4 x4 = - 43
20 E1 + 3 x1 - 3 x2 - 3 x3 - 6 x4 = - 33
E2 - 4 x1 - 4 x2 + 6 x3 + 7 x4 = + 13
E3 + 2 x1 + 5 x2 + 5 x3 + 2 x4 = + 51
E4 + 3 x1 + 9 x2 + 1 x3 - 9 x4 = + 76

6. 21 E1 + 4 x1 - 9 x2 - 5 x3 + 1 x4 = - 93
E2 - 6 x1 - 3 x2 + 1 x3 - 8 x4 = + 100
E3 + 2 x1 + 8 x2 - 6 x3 + 2 x4 = - 60
E4 + 7 x1 + 5 x2 - 3 x3 - 5 x4 = - 28
22 E1 - 2 x1 + 5 x2 + 8 x3 + 5 x4 = - 66
E2 - 2 x1 + 5 x2 - 3 x3 + 2 x4 = - 20
E3 + 4 x1 - 3 x2 - 4 x3 + 7 x4 = - 56
E4 + 6 x1 - 1 x2 - 9 x3 + 5 x4 = - 48
23 E1 - 3 x1 - 5 x2 - 8 x3 - 3 x4 = + 107
E2 - 7 x1 - 6 x2 + 4 x3 - 2 x4 = + 56
E3 - 6 x1 - 9 x2 - 8 x3 - 5 x4 = + 155
E4 + 6 x1 - 7 x2 - 3 x3 + 3 x4 = - 11
24 E1 + 2 x1 + 3 x2 - 9 x3 + 9 x4 = - 41
E2 + 5 x1 + 2 x2 - 2 x3 + 4 x4 = - 47
E3 - 8 x1 + 9 x2 + 6 x3 - 5 x4 = - 22
E4 - 3 x1 + 5 x2 - 6 x3 + 4 x4 = - 30

7. 25 E1 - 9 x1 + 8 x2 - 5 x3 + 3 x4 = - 42
E2 + 8 x1 + 2 x2 + 6 x3 - 2 x4 = - 12
E3 - 8 x1 + 3 x2 - 7 x3 + 7 x4 = - 16
E4 + 4 x1 - 2 x2 + 2 x3 - 9 x4 = - 17
26 E1 + 9 x1 + 3 x2 + 4 x3 - 9 x4 = + 104
E2 + 1 x1 - 5 x2 + 3 x3 - 4 x4 = + 2
E3 + 2 x1 + 2 x2 - 2 x3 + 5 x4 = + 9
E4 + 5 x1 + 2 x2 + 5 x3 + 7 x4 = + 20
27 E1 + 6 x1 + 7 x2 + 3 x3 + 8 x4 = + 31
E2 + 5 x1 - 4 x2 - 7 x3 + 2 x4 = + 15
E3 + 4 x1 - 1 x2 + 8 x3 - 8 x4 = - 174
E4 - 4 x1 + 2 x2 + 4 x3 - 3 x4 = - 16
28 E1 - 2 x1 + 9 x2 - 4 x3 - 9 x4 = + 54
E2 + 9 x1 + 7 x2 + 7 x3 - 2 x4 = - 42
E3 + 6 x1 - 2 x2 + 7 x3 + 4 x4 = - 48
E4 - 5 x1 - 4 x2 - 2 x3 + 6 x4 = - 8

8. 29 E1 - 5 x1 + 5 x2 - 7 x3 - 7 x4 = + 84
E2 - 8 x1 - 6 x2 + 9 x3 + 8 x4 = + 12
E3 + 2 x1 - 5 x2 - 8 x3 - 4 x4 = + 25
E4 - 6 x1 + 6 x2 + 6 x3 + 4 x4 = + 10
30 E1 - 5 x1 - 2 x2 - 5 x3 - 7 x4 = - 85
E2 - 7 x1 - 4 x2 + 1 x3 + 7 x4 = - 13
E3 + 2 x1 - 8 x2 - 9 x3 + 7 x4 = - 103
E4 - 8 x1 + 7 x2 + 9 x3 - 7 x4 = + 84
31 E1 - 1 x1 - 3 x2 - 3 x3 - 9 x4 = + 73
E2 + 4 x1 + 1 x2 - 7 x3 + 5 x4 = - 79
E3 + 5 x1 + 5 x2 - 2 x3 + 3 x4 = - 60
E4 - 2 x1 + 6 x2 + 3 x3 + 8 x4 = - 59
32 E1 + 5 x1 - 9 x2 - 5 x3 + 9 x4 = + 97
E2 + 6 x1 - 5 x2 - 7 x3 - 5 x4 = + 124
E3 + 1 x1 - 3 x2 - 2 x3 + 4 x4 = + 26
E4 - 8 x1 - 2 x2 - 2 x3 - 2 x4 = - 48