Mathématiques

Question

bonjour pouvez vous m aidez svp merci d avance
il faut résoudre les équations suivantes a l aide des phrases ( la lettre fois correspond a la lettre x )
1) 2 x - 4 =5 x - 37
2)5 x + 12 = 2 x + 18
3) -3 x + 5 = 12 x - 205
4) 9 x - 6 = 8 x - 13
5) 11 x - 1 = 2 x - 10
6) 2 x + 2 = 12 x - 98
7) 7 x + 4 = 6 x + 4
8) 10 x - 2 = 128
9) - 3 x +2 = 13 x +50
10) 4 x +12 = 2 x +20

1 Réponse

  • Bonsoir,

    1) 2 x - 4 =5 x - 37
    2x - 5x = - 37 + 4
    - 3x = - 33
    x = 33/3
    x = 11

    2)5 x + 12 = 2 x + 18
    5x - 2x = 18 - 12
    3x = 6
    x = 6/3
    x = 2

    3) -3 x + 5 = 12 x - 205
    - 3x - 12x = - 205 - 5
    - 15x = - 210
    x = 210/15
    x = 14

    4) 9 x - 6 = 8 x - 13
    9x - 8x = - 13 + 6
    x = - 7

    5) 11 x - 1 = 2 x - 10
    11x - 2x = - 10 + 1
    9x = - 9
    x = - 9/9
    x = - 1

    6) 2 x + 2 = 12 x - 98
    2x - 12x = - 98 - 2
    - 10x = - 100
    x = 100/10
    x = 10

    7) 7 x + 4 = 6 x + 4
    7x - 6x = 4 - 4
    x = 0

    8) 10 x - 2 = 128 
    10x = 128 + 2
    10x = 130
    x = 130/10
    x = 13

    9) - 3 x +2 = 13 x +50
    - 3x - 13x = 50 - 2
    - 16x = 48
    x = - 48/16
    x = - 3

    10) 4 x +12 = 2 x +20
    4x - 2x = 20 - 12
    2x = 8
    x = 8/2
    x = 4

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