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# Sistemas 3x3

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Sistemas de 3 ecuaciones con 3 incógnitas con solución en números enteros
Systems of 3 equations with 3 unknowns with integer numbers solution

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### Sistemas 3x3

1. 1. 1 E1 - 6 x1 + 2 x2 + 7 x3 = + 4 E2 + 1 x1 + 8 x2 - 1 x3 = + 40 E3 + 4 x1 + 4 x2 - 8 x3 = + 44 2 E1 + 7 x1 + 5 x2 + 9 x3 = - 39 E2 - 5 x1 + 3 x2 + 9 x3 = + 81 E3 + 7 x1 + 5 x2 - 3 x3 = - 111 3 E1 - 6 x1 + 2 x2 + 4 x3 = + 26 E2 + 2 x1 + 5 x2 - 3 x3 = + 4 E3 - 1 x1 - 5 x2 - 4 x3 = - 45 4 E1 - 2 x1 + 1 x2 + 7 x3 = - 37 E2 - 8 x1 + 7 x2 + 4 x3 = + 14 E3 - 9 x1 + 2 x2 - 5 x3 = + 94
2. 2. 5 E1 + 5 x1 + 8 x2 + 9 x3 = + 42 E2 - 5 x1 + 6 x2 + 8 x3 = + 74 E3 + 7 x1 + 9 x2 + 6 x3 = + 17 6 E1 + 2 x1 - 8 x2 + 5 x3 = + 53 E2 + 6 x1 - 7 x2 + 8 x3 = + 19 E3 + 4 x1 + 3 x2 - 6 x3 = - 75 7 E1 + 7 x1 + 5 x2 + 4 x3 = + 61 E2 - 4 x1 - 9 x2 - 6 x3 = - 57 E3 + 7 x1 + 3 x2 - 6 x3 = + 45 8 E1 + 7 x1 - 5 x2 - 7 x3 = + 37 E2 + 6 x1 - 8 x2 + 5 x3 = + 10 E3 + 2 x1 - 6 x2 - 4 x3 = + 46
3. 3. 9 E1 + 5 x1 - 1 x2 - 1 x3 = - 52 13 E2 + 7 x1 + 4 x2 - 2 x3 = - 50 E3 - 2 x1 + 7 x2 + 8 x3 = + 107 10 E1 - 8 x1 - 5 x2 - 5 x3 = + 87 14 E2 + 3 x1 - 2 x2 - 5 x3 = - 39 E3 + 2 x1 - 4 x2 - 6 x3 = - 18 11 E1 - 6 x1 - 2 x2 + 3 x3 = - 19 15 E2 - 3 x1 - 8 x2 - 2 x3 = - 20 E3 - 2 x1 + 4 x2 + 7 x3 = + 19 12 E1 - 9 x1 - 5 x2 + 7 x3 = - 45 16 E2 + 4 x1 + 4 x2 - 7 x3 = + 25 E3 - 9 x1 - 3 x2 - 2 x3 = - 44
4. 4. E1 - 3 x1 - 3 x2 - 3 x3 = + 12 E2 + 8 x1 + 8 x2 - 1 x3 = - 5 E3 - 7 x1 + 6 x2 + 2 x3 = + 27 E1 - 3 x1 - 8 x2 - 7 x3 = + 14 E2 - 1 x1 + 6 x2 - 3 x3 = + 24 E3 + 1 x1 + 6 x2 + 7 x3 = - 12 E1 + 8 x1 - 7 x2 + 9 x3 = - 65 E2 - 7 x1 + 4 x2 - 8 x3 = + 53 E3 + 6 x1 - 9 x2 + 4 x3 = - 48 E1 - 8 x1 - 4 x2 + 7 x3 = - 5 E2 - 4 x1 + 8 x2 - 3 x3 = + 37 E3 + 5 x1 - 8 x2 + 4 x3 = - 43
5. 5. 17 E1 - 1 x1 - 3 x2 + 8 x3 = + 62 E2 - 8 x1 - 8 x2 - 4 x3 = + 40 E3 - 4 x1 - 3 x2 - 4 x3 = + 5 18 E1 - 7 x1 - 8 x2 + 4 x3 = + 12 E2 - 5 x1 - 8 x2 + 8 x3 = - 4 E3 + 7 x1 - 7 x2 + 2 x3 = + 72 19 E1 - 8 x1 + 2 x2 - 4 x3 = + 84 E2 + 4 x1 - 5 x2 + 4 x3 = - 82 E3 - 2 x1 - 8 x2 + 4 x3 = - 70 20 E1 + 6 x1 - 5 x2 - 4 x3 = 0 E2 - 3 x1 - 4 x2 - 7 x3 = + 62 E3 + 3 x1 - 2 x2 - 7 x3 = + 18
6. 6. 21 E1 - 3 x1 + 8 x2 + 9 x3 = - 82 E2 + 4 x1 + 7 x2 - 7 x3 = + 1 E3 + 2 x1 - 7 x2 - 9 x3 = + 75 22 E1 + 7 x1 + 7 x2 - 6 x3 = - 50 E2 + 2 x1 - 2 x2 + 6 x3 = + 4 E3 + 3 x1 - 6 x2 + 7 x3 = - 27 23 E1 - 1 x1 + 2 x2 - 4 x3 = + 2 E2 - 3 x1 - 3 x2 + 7 x3 = - 36 E3 - 6 x1 + 8 x2 + 3 x3 = - 118 24 E1 + 8 x1 + 7 x2 - 8 x3 = - 52 E2 - 2 x1 - 5 x2 - 7 x3 = - 28 E3 - 7 x1 + 2 x2 + 3 x3 = - 11
7. 7. 25 E1 + 8 x1 - 8 x2 - 5 x3 = - 97 E2 - 6 x1 + 4 x2 + 6 x3 = + 78 E3 - 3 x1 - 9 x2 - 3 x3 = - 24 26 E1 - 1 x1 - 1 x2 + 2 x3 = + 11 E2 - 8 x1 + 4 x2 - 3 x3 = + 53 E3 + 6 x1 + 4 x2 - 6 x3 = - 46 27 E1 + 6 x1 + 5 x2 + 9 x3 = - 11 E2 - 5 x1 - 8 x2 - 3 x3 = - 21 E3 - 6 x1 - 2 x2 + 5 x3 = - 53 28 E1 - 4 x1 - 5 x2 + 4 x3 = + 39 E2 - 7 x1 - 8 x2 - 6 x3 = + 27 E3 + 3 x1 - 4 x2 + 3 x3 = + 12
8. 8. 29 E1 - 3 x1 - 2 x2 + 8 x3 = + 28 E2 - 7 x1 + 9 x2 - 6 x3 = + 46 E3 - 2 x1 + 5 x2 + 2 x3 = + 34 30 E1 + 9 x1 - 6 x2 - 7 x3 = - 64 E2 + 8 x1 + 2 x2 + 5 x3 = - 50 E3 - 5 x1 + 8 x2 - 5 x3 = + 72 31 E1 - 9 x1 + 7 x2 - 3 x3 = - 69 E2 + 9 x1 - 5 x2 + 3 x3 = + 57 E3 + 4 x1 - 4 x2 + 7 x3 = + 53 32 E1 + 8 x1 + 7 x2 - 3 x3 = - 67 E2 + 5 x1 - 6 x2 + 5 x3 = + 103 E3 + 4 x1 + 4 x2 - 4 x3 = - 60