Mathématiques

Question

Bonjour pouvez-vous m'aider s'il vous plait je ne comprend rien.
Résoudre les équations suivantes :

3(x - 7) = 4(x - 9)
7(x - 2) = 3 - (x - 8)
5 - 3 (x - 8) = 2x + 7
2 + 3 (b - 9) = 5 - (b + 3)
4 - 5 (b - 22) = b + 12
(a - 7) - (7 - 3a) = 7 (a - 2)
5 - 4 (2a - 3) = 3 ( - 4 + a)

1 Réponse

  • Bonjour

    3(x - 7) = 4(x - 9)
    3x-21 = 4x -36
    3x  -4x = -36 +21
    -x = - 15
    x = 15

    7(x - 2) = 3 - (x - 8)
    7x -14 = 3 -x +8
    7x +x = 14 +3 +8
    8x =25
    x = 25/8

    5 - 3 (x - 8) = 2x + 7
    5 - 3x +24 = 2x +7
    -3x -2x = 7 -24 -5
    -5x = -22
    x = 22/5

    2 + 3 (b - 9) = 5 - (b + 3)
    2 + 3b -27 = 5 -b -3
    3b +b = 5 -3 +27 -2
    4b = 27
    b = 27/4

    4 - 5 (b - 22) = b + 12
    4 - 5b + 110 = b +12
    -5b -b = 12 -110 -4
    -6b = -102
    b = 102/6 = 17

    (a - 7) - (7 - 3a) = 7 (a - 2)
    a -7 -7 +3a = 7a -14
    a +3a -7a = -14 +7 +7
    -3a = 0
    a = 0

    5 - 4 (2a - 3) = 3 ( - 4 + a)

    5 - 8a +12 = -12 +3a
    -8a -3a = -12 -12 -5
    -11a = - 29
    a = 29/11

Autres questions