Mathématiques

Question

Voici quelques équations :
a) 4x+3=3x - 5 ;
b) -2x+7 = 3x-13
c) -3x+4=6x+5
d) 4-7x= -3x+1
e) 3 (x-8)=4x+5
f) -4(2+x) = 3x-5
g) 9(2-2x)= - (7x+1)
h) -3 (4+x) + 3x = 6(x+1)
i) 2(-5x+3) + 7(3x-1)=0
j) 5(4x+3) + 2(x+6) = 3(x+8)

1 Réponse

  • a) 4x + 3 = 3x - 5
    4x - 3x = -3 - 5
    x = -8

    b) -2x + 7 = 3x - 13
    - 2x - 3x = - 7 - 13
    -5x = -20
    x = 20/5
    x = 4

    c) -3x + 4 = 6x + 5
    -3x -6x = -4 + 5
    -9x = 1
    x = -1/9
    x = -0,11

    d) 4 - 7x = -3x + 1
    4 - 1 = 7x - 3x
    3 = 4x
    4x = 3
    x = 3/4
    x = 0,75

    e) 3 (x - 8) = 4x + 5
    3x - 24 = 4x + 5
    3x - 4x = 24 + 5
    -x = 29
    x = -29

    f) -4(2 + x) = 3x - 5
    -8 - 4x = 3x - 5
    -4x - 3x = 8 - 5
    -7x = 3
    x = -3/7
    x = -0,43

    g) 9(2 - 2x) = - (7x + 1)
    18 - 18x = -7x - 1
    -18x + 7x = -18 - 1
    -11x = -19
    x = 19/11
    x = 1,72

    h) -3 (4 + x) + 3x = 6(x + 1)
    -12 - 3x + 3x = 6x + 6
    -3x + 3 - 6x = +12 + 6
    -6x = -18
    x = -18/6
    x = -3

    i) 2(-5x + 3) + 7(3x - 1) = 0
    -10x + 6 + 21x - 7 = 0
    -10x + 21x = - 6 + 7
    11x = 1
    x = 1/11
    x = 0,09

    j) 5(4x + 3) + 2(x + 6) = 3(x + 8)
    20x + 15 + 2x +12 = 3x + 24
    20x + 2x - 3x = -15 - 12 + 24
    22x - 3x = - 27 + 24
    19x = - 3
    x = -3/19
    x = - 0,157

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