The document presents a series of linear equations involving variables x1 to x5 across multiple scenarios (e1 to e5). Each equation indicates the relationship between these variables and a resulting constant, demonstrating systems of equations that may be used for analysis. The overall structure suggests a complex interaction system possibly for optimization or resource allocation.

1. 1 E1 - 3 x1 - 7 x2 + 7 x3 - 7 x4 - 2 x5 = + 36
E2 + 6 x1 - 4 x2 + 2 x3 + 4 x4 - 6 x5 = + 54
E3 + 2 x1 - 5 x2 - 3 x3 - 4 x4 - 7 x5 = - 19
E4 - 3 x1 - 7 x2 + 3 x3 - 4 x4 - 8 x5 = + 47
E5 - 8 x1 - 8 x2 + 6 x3 - 4 x4 + 5 x5 = + 47
2 E1 - 2 x1 + 6 x2 + 6 x3 - 2 x4 + 5 x5 = - 48
E2 + 3 x1 - 3 x2 - 8 x3 - 1 x4 - 8 x5 = + 15
E3 + 6 x1 - 8 x2 - 8 x3 + 8 x4 + 2 x5 = + 36
E4 + 4 x1 - 4 x2 + 6 x3 + 5 x4 - 1 x5 = + 73
E5 - 6 x1 - 7 x2 + 8 x3 - 1 x4 + 9 x5 = + 37
3 E1 - 3 x1 + 3 x2 + 3 x3 + 5 x4 - 4 x5 = - 62
E2 - 2 x1 - 3 x2 + 5 x3 + 1 x4 - 6 x5 = - 73
E3 + 5 x1 - 5 x2 + 5 x3 + 3 x4 + 1 x5 = + 13
E4 + 6 x1 - 7 x2 - 4 x3 - 7 x4 + 7 x5 = + 96
E5 - 8 x1 + 6 x2 - 5 x3 - 6 x4 + 1 x5 = + 11
4 E1 - 5 x1 - 5 x2 - 8 x3 + 6 x4 + 1 x5 = - 15
E2 - 6 x1 - 6 x2 + 7 x3 + 5 x4 - 9 x5 = - 8
E3 + 9 x1 - 3 x2 + 8 x3 + 1 x4 - 2 x5 = + 84
E4 - 6 x1 - 6 x2 + 2 x3 + 7 x4 - 4 x5 = - 26
E5 - 2 x1 + 7 x2 + 3 x3 - 9 x4 - 9 x5 = + 5

2. 5 E1 - 1 x1 + 8 x2 + 2 x3 - 4 x4 + 3 x5 = + 49
E2 + 7 x1 + 4 x2 - 4 x3 + 6 x4 - 3 x5 = + 21
E3 + 1 x1 + 4 x2 + 7 x3 - 3 x4 - 4 x5 = + 45
E4 + 3 x1 + 4 x2 - 2 x3 + 5 x4 - 6 x5 = + 44
E5 - 4 x1 + 7 x2 + 5 x3 + 8 x4 - 3 x5 = + 51
6 E1 + 9 x1 - 1 x2 + 1 x3 - 5 x4 - 3 x5 = - 74
E2 + 1 x1 - 3 x2 - 4 x3 - 4 x4 + 5 x5 = + 1
E3 + 6 x1 - 8 x2 + 7 x3 - 2 x4 - 6 x5 = - 85
E4 - 5 x1 + 6 x2 - 2 x3 - 8 x4 - 3 x5 = + 50
E5 + 5 x1 + 2 x2 - 3 x3 + 5 x4 + 7 x5 = - 1
7 E1 + 8 x1 + 2 x2 - 3 x3 - 8 x4 - 7 x5 = + 54
E2 - 3 x1 + 3 x2 - 4 x3 - 1 x4 - 5 x5 = - 4
E3 - 6 x1 - 7 x2 - 5 x3 + 8 x4 - 5 x5 = + 12
E4 - 8 x1 + 9 x2 - 4 x3 + 3 x4 + 8 x5 = - 22
E5 + 4 x1 - 5 x2 + 1 x3 + 9 x4 - 9 x5 = - 14
8 E1 + 3 x1 - 5 x2 + 5 x3 + 2 x4 - 3 x5 = + 37
E2 - 7 x1 + 8 x2 + 8 x3 + 5 x4 - 2 x5 = - 1
E3 - 2 x1 - 7 x2 + 8 x3 + 3 x4 + 6 x5 = + 62
E4 + 6 x1 + 6 x2 + 6 x3 - 7 x4 + 8 x5 = - 162
E5 - 6 x1 + 5 x2 - 1 x3 - 3 x4 - 7 x5 = - 18

3. 9 E1 + 2 x1 + 8 x2 - 8 x3 - 4 x4 - 5 x5 = - 45
E2 - 6 x1 - 5 x2 + 6 x3 + 7 x4 - 4 x5 = + 85
E3 - 2 x1 - 2 x2 + 6 x3 - 5 x4 - 8 x5 = + 116
E4 - 5 x1 + 7 x2 + 1 x3 - 1 x4 + 9 x5 = - 21
E5 - 7 x1 - 5 x2 - 4 x3 + 6 x4 - 4 x5 = + 36
10 E1 - 6 x1 - 1 x2 + 7 x3 - 6 x4 - 3 x5 = + 35
E2 - 2 x1 - 2 x2 + 4 x3 + 5 x4 + 7 x5 = + 80
E3 - 7 x1 - 6 x2 - 4 x3 + 5 x4 - 5 x5 = + 86
E4 + 2 x1 - 3 x2 - 2 x3 + 7 x4 - 6 x5 = + 75
E5 + 3 x1 + 5 x2 + 7 x3 + 6 x4 - 3 x5 = + 59
11 E1 - 3 x1 - 6 x2 + 5 x3 - 8 x4 + 9 x5 = + 36
E2 + 4 x1 - 7 x2 + 4 x3 - 6 x4 + 7 x5 = + 81
E3 + 7 x1 - 3 x2 + 4 x3 - 9 x4 + 3 x5 = + 107
E4 - 6 x1 + 6 x2 + 2 x3 - 4 x4 - 2 x5 = - 28
E5 - 3 x1 - 7 x2 - 3 x3 + 5 x4 - 4 x5 = - 82
12 E1 - 4 x1 - 9 x2 + 9 x3 - 3 x4 - 9 x5 = - 117
E2 - 4 x1 - 2 x2 + 9 x3 + 7 x4 + 6 x5 = - 18
E3 + 7 x1 - 2 x2 - 2 x3 - 6 x4 + 8 x5 = - 40
E4 + 9 x1 + 7 x2 + 7 x3 + 5 x4 + 5 x5 = - 27
E5 - 6 x1 - 4 x2 + 4 x3 + 3 x4 - 4 x5 = - 18

4. 13 E1 + 6 x1 + 5 x2 + 6 x3 + 6 x4 - 1 x5 = - 113
E2 + 2 x1 + 6 x2 - 3 x3 - 1 x4 - 5 x5 = 0
E3 - 4 x1 + 3 x2 - 4 x3 + 6 x4 + 9 x5 = - 5
E4 - 6 x1 + 6 x2 - 9 x3 + 5 x4 - 7 x5 = - 16
E5 + 2 x1 - 2 x2 + 4 x3 + 7 x4 - 3 x5 = - 89
14 E1 - 4 x1 + 2 x2 + 6 x3 - 3 x4 + 7 x5 = - 26
E2 + 2 x1 - 8 x2 + 6 x3 + 4 x4 + 7 x5 = + 3
E3 - 6 x1 - 7 x2 + 2 x3 + 4 x4 - 2 x5 = - 55
E4 - 5 x1 - 1 x2 + 3 x3 - 7 x4 + 3 x5 = - 9
E5 - 7 x1 + 5 x2 - 2 x3 + 4 x4 + 2 x5 = - 100
15 E1 - 6 x1 + 5 x2 - 4 x3 - 4 x4 + 4 x5 = - 104
E2 + 7 x1 - 7 x2 + 6 x3 - 5 x4 - 4 x5 = + 85
E3 - 9 x1 - 4 x2 + 3 x3 + 8 x4 + 6 x5 = + 32
E4 + 4 x1 + 5 x2 + 6 x3 + 8 x4 + 4 x5 = + 56
E5 + 6 x1 - 2 x2 + 4 x3 + 4 x4 - 2 x5 = + 82
16 E1 - 7 x1 - 5 x2 + 3 x3 - 5 x4 - 7 x5 = - 13
E2 - 8 x1 + 7 x2 + 8 x3 - 5 x4 + 8 x5 = - 26
E3 + 4 x1 + 7 x2 + 4 x3 - 2 x4 + 4 x5 = + 33
E4 - 2 x1 + 3 x2 - 5 x3 - 2 x4 - 7 x5 = - 29
E5 - 7 x1 + 6 x2 - 6 x3 - 2 x4 - 2 x5 = - 79

5. 17 E1 + 4 x1 + 3 x2 + 8 x3 + 6 x4 - 8 x5 = + 3
E2 + 4 x1 - 7 x2 - 3 x3 - 6 x4 - 5 x5 = + 6
E3 - 8 x1 + 9 x2 + 6 x3 - 3 x4 - 9 x5 = + 91
E4 - 6 x1 + 2 x2 + 4 x3 - 8 x4 - 2 x5 = + 18
E5 - 5 x1 + 2 x2 - 3 x3 + 6 x4 + 8 x5 = - 1
18 E1 + 2 x1 + 4 x2 - 3 x3 + 9 x4 + 5 x5 = - 67
E2 - 2 x1 - 4 x2 - 3 x3 - 9 x4 - 5 x5 = + 91
E3 + 4 x1 + 7 x2 - 6 x3 - 9 x4 - 7 x5 = - 21
E4 + 5 x1 - 4 x2 - 6 x3 + 4 x4 + 2 x5 = - 7
E5 - 3 x1 - 6 x2 - 1 x3 - 2 x4 - 8 x5 = + 15
19 E1 + 4 x1 - 6 x2 + 7 x3 - 3 x4 + 2 x5 = - 38
E2 - 6 x1 + 5 x2 + 9 x3 - 7 x4 - 4 x5 = - 70
E3 - 2 x1 + 7 x2 - 7 x3 - 5 x4 + 6 x5 = + 176
E4 - 7 x1 - 8 x2 - 6 x3 - 7 x4 - 4 x5 = - 19
E5 - 6 x1 + 3 x2 - 3 x3 + 4 x4 - 9 x5 = - 91
20 E1 - 7 x1 - 4 x2 + 7 x3 - 3 x4 + 7 x5 = + 116
E2 + 5 x1 - 7 x2 - 7 x3 + 7 x4 + 4 x5 = - 67
E3 - 3 x1 - 6 x2 - 3 x3 - 3 x4 - 2 x5 = + 40
E4 + 9 x1 + 6 x2 + 2 x3 + 7 x4 - 1 x5 = - 115
E5 - 5 x1 - 5 x2 - 2 x3 + 2 x4 - 4 x5 = - 5

6. 21 E1 - 3 x1 - 5 x2 - 4 x3 - 2 x4 - 8 x5 = - 28
E2 + 4 x1 - 9 x2 - 8 x3 + 3 x4 - 6 x5 = - 9
E3 - 2 x1 - 5 x2 + 5 x3 + 9 x4 + 6 x5 = + 9
E4 - 8 x1 - 8 x2 - 2 x3 - 6 x4 - 6 x5 = + 20
E5 - 2 x1 - 7 x2 + 5 x3 - 5 x4 + 7 x5 = + 141
22 E1 + 4 x1 + 3 x2 - 3 x3 - 2 x4 + 8 x5 = - 17
E2 - 6 x1 - 4 x2 + 1 x3 - 9 x4 + 3 x5 = - 121
E3 - 2 x1 + 4 x2 - 5 x3 - 1 x4 + 6 x5 = + 6
E4 + 5 x1 - 3 x2 + 8 x3 - 1 x4 - 6 x5 = - 28
E5 - 4 x1 + 5 x2 + 4 x3 + 6 x4 + 8 x5 = - 39
23 E1 - 4 x1 + 3 x2 + 8 x3 + 4 x4 + 4 x5 = - 16
E2 + 4 x1 + 1 x2 - 8 x3 - 8 x4 - 6 x5 = + 22
E3 - 2 x1 + 1 x2 + 1 x3 - 6 x4 - 9 x5 = + 81
E4 - 5 x1 - 5 x2 - 6 x3 - 3 x4 + 2 x5 = + 20
E5 + 4 x1 - 2 x2 - 2 x3 + 2 x4 + 4 x5 = - 44
24 E1 - 3 x1 - 5 x2 + 7 x3 - 1 x4 + 4 x5 = + 21
E2 + 8 x1 - 7 x2 - 6 x3 - 4 x4 - 5 x5 = - 25
E3 + 2 x1 + 2 x2 + 4 x3 - 6 x4 - 6 x5 = - 78
E4 - 6 x1 - 8 x2 + 5 x3 + 9 x4 - 4 x5 = + 22
E5 + 5 x1 - 3 x2 - 5 x3 + 2 x4 - 4 x5 = - 11

7. 25 E1 + 4 x1 - 6 x2 - 4 x3 + 2 x4 + 8 x5 = - 96
E2 - 2 x1 - 9 x2 + 2 x3 + 3 x4 - 4 x5 = - 24
E3 - 5 x1 - 7 x2 + 7 x3 - 2 x4 - 6 x5 = + 29
E4 + 7 x1 - 7 x2 - 1 x3 - 9 x4 - 3 x5 = - 178
E5 + 5 x1 + 3 x2 + 2 x3 + 2 x4 + 8 x5 = + 22
26 E1 - 5 x1 + 2 x2 - 4 x3 + 6 x4 - 2 x5 = + 35
E2 - 2 x1 + 9 x2 - 4 x3 + 4 x4 - 9 x5 = + 78
E3 - 3 x1 + 6 x2 + 3 x3 + 7 x4 - 3 x5 = + 62
E4 + 4 x1 + 8 x2 - 6 x3 + 7 x4 + 6 x5 = - 16
E5 + 7 x1 + 8 x2 - 3 x3 - 6 x4 + 5 x5 = - 40
27 E1 + 3 x1 - 2 x2 + 3 x3 - 6 x4 + 1 x5 = + 24
E2 - 9 x1 + 6 x2 - 4 x3 - 4 x4 + 8 x5 = - 54
E3 + 7 x1 + 5 x2 - 3 x3 - 7 x4 - 8 x5 = - 40
E4 + 7 x1 - 3 x2 + 8 x3 - 9 x4 + 3 x5 = + 56
E5 + 2 x1 - 5 x2 - 2 x3 - 7 x4 - 2 x5 = + 29
28 E1 + 6 x1 + 2 x2 + 4 x3 - 6 x4 - 5 x5 = - 33
E2 + 2 x1 + 2 x2 - 8 x3 + 5 x4 - 7 x5 = - 34
E3 - 3 x1 - 9 x2 + 8 x3 + 8 x4 + 6 x5 = + 46
E4 - 2 x1 + 8 x2 - 3 x3 - 1 x4 - 4 x5 = - 64
E5 + 9 x1 + 4 x2 - 5 x3 - 5 x4 - 5 x5 = - 8

8. 29 E1 - 7 x1 + 2 x2 + 6 x3 - 2 x4 - 8 x5 = - 4
E2 + 4 x1 - 7 x2 + 5 x3 - 6 x4 + 3 x5 = + 43
E3 + 6 x1 - 2 x2 - 5 x3 - 7 x4 - 3 x5 = - 116
E4 - 8 x1 + 4 x2 + 4 x3 - 3 x4 + 4 x5 = + 69
E5 + 2 x1 - 2 x2 - 9 x3 + 5 x4 - 4 x5 = - 52
30 E1 + 7 x1 - 3 x2 - 5 x3 + 9 x4 - 7 x5 = - 37
E2 - 4 x1 - 2 x2 - 2 x3 + 4 x4 + 3 x5 = - 69
E3 + 9 x1 - 6 x2 + 9 x3 - 2 x4 + 9 x5 = - 99
E4 + 5 x1 - 5 x2 + 2 x3 - 8 x4 - 5 x5 = + 54
E5 - 4 x1 - 7 x2 + 3 x3 + 4 x4 + 4 x5 = - 103
31 E1 - 2 x1 - 7 x2 - 2 x3 - 8 x4 - 8 x5 = - 146
E2 - 4 x1 - 6 x2 - 1 x3 + 5 x4 + 2 x5 = + 22
E3 + 2 x1 + 7 x2 + 1 x3 - 1 x4 + 8 x5 = + 78
E4 - 4 x1 - 2 x2 + 9 x3 - 8 x4 + 8 x5 = - 64
E5 - 3 x1 - 7 x2 + 7 x3 + 2 x4 + 6 x5 = - 7
32 E1 + 2 x1 - 2 x2 + 8 x3 - 5 x4 + 2 x5 = + 97
E2 + 4 x1 + 2 x2 + 7 x3 - 8 x4 - 5 x5 = + 41
E3 + 3 x1 - 5 x2 + 8 x3 + 4 x4 + 1 x5 = + 34
E4 + 5 x1 - 6 x2 - 2 x3 + 4 x4 - 8 x5 = - 50
E5 - 6 x1 - 6 x2 - 4 x3 - 2 x4 + 7 x5 = + 115