Mathématiques

Question

Bonjour pouvez vous m’aidez merci d’avance
Bonjour pouvez vous m’aidez merci d’avance

1 Réponse

  • Bonjour,

    a + b = 8
    +. +
    c - d = 6
    =. =
    13. 8

    a + b = 8
    a + c = 13
    b + d = 8
    c - d = 6

    a + b = 8 => b = 8 - a
    b + d = 8 => b = 8 - d

    8 - a = 8 - d
    d = a

    a + c = 13
    c - d = 6 => on remplace d

    c = 13 - a
    c = 6 + a

    On additionne les deux équations :
    2c = 13 + 6 - a + a
    2c = 19
    c = 19/2
    c = 9,5

    On remplace c :
    c = 6 + a
    a = 19/2 - 6
    a = 19/2 - 12/2
    a = 7/2
    a = 3,5

    d = a = 7/2 = 3,5

    a + b = 8
    b = 8 - a
    b = 8 - 7/2
    b = 16/2 - 7/2
    b = 9/2 = 4,5

    7/2 + 9/2 = 8
    +. ....+
    19/2 - 7/2 = 6
    =...... =
    13..........8