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Exercice 21

                   x + y = 10      1 1         x             10
                              →                     =
                    x−y=2          1 −1        y             2
                                          −1
                          x        1 1             10
                               =
                          y        1 −1             2
                          −1
                   1 1             1/2 1/2
            avec               =
                   1 −1            1/2 −1/2
                          x        1/2 1/2              10        6
                               =                             =
                          y        1/2 −1/2             2         4

   Donc x = 6 et y = 4

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Ch11 21

  • 1. Exercice 21 x + y = 10 1 1 x 10 → = x−y=2 1 −1 y 2 −1 x 1 1 10 = y 1 −1 2 −1 1 1 1/2 1/2 avec = 1 −1 1/2 −1/2 x 1/2 1/2 10 6 = = y 1/2 −1/2 2 4 Donc x = 6 et y = 4