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# Sistemas 5x5

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Sistemas de 5 ecuaciones lineales con 5 incognitas con solucion en numeros enteros
Systems of 5 equations with 5 unknowns with integer numbers solution

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### Sistemas 5x5

1. 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. 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. 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. 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. 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. 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. 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. 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