Mathématiques

Question

Bonjour j'aurais besoin d'aide pour résoudre les équations.
merci

a. 3(x + 7) = 5x - 3

b. 2(7x + 1) = 3(- 2x + 4)

c. 3x - 8 = 2(- 2x + 4)

d. - 8(2x + 1) = 5(- 3x + 4)

e. 2(x + 4) + 5(x + 2) = 4

f. - 3(x + 6) + 2(5x - 1) = 3x

g. 7(3x - 2) - 3 = -5(- 2x + 4)

h. 6x + 2 = 3(8x - 1) - 3x

1 Réponse

  • bonsoir

    résoudre les équations

    a. 3(x + 7) = 5x - 3

    3x + 21 = 5x - 3

    21 + 3 = 5x - 3x

    24 = 2x

    x = 24/2

    x = 12

    b. 2(7x + 1) = 3(- 2x + 4)

    14x + 2 = -6x + 12

    14x + 6x = 12 - 2

    20x = 10

    x = 10/20

    x = 1/2

    c. 3x - 8 = 2(- 2x + 4)

    3x - 8 = -4x + 8

    3x + 4x = 8 + 8

    7x = 16

    x = 16/7

    d. - 8(2x + 1) = 5(- 3x + 4)

    -16x - 8 = -15x + 20

    -20 - 8 = 16x - 15x

    -28 = x

    x = -28

    e. 2(x + 4) + 5(x + 2) = 4

    2x + 8 + 5x + 10 = 4

    7x = 4 - 18

    7x = -14

    x = -14/7

    x = -2

    f. - 3(x + 6) + 2(5x - 1) = 3x

    -3x - 18 + 10x - 2 = 3x

    10x - 6x = 18 + 2

    4x = 20

    x = 20/4

    x = 5

    g. 7(3x - 2) - 3 = -5(- 2x + 4)

    21x - 14 - 3 = 10x - 20

    21x - 10x = -20 + 17

    11x = -3

    x = -3/11

    h. 6x + 2 = 3(8x - 1) - 3x

    6x + 2 = 24x - 3 - 3x

    2 + 3 = 21x - 6x

    5 = 15x

    x = 5/15

    x = 1/3

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