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Sistemas 4x4

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Sistemas de 4 ecuaciones con 3 incognitas con soluciones en números enteros
Systems of 4 equations with 4 unknowns with integer numbers solution

Published in: Engineering
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Sistemas 4x4

  1. 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. 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. 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. 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. 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. 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. 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. 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

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