Mathématiques

Question

aidez moi ci vous plait resous les équations suivants a) 2+x-(5+2x)-7=3x+7 b)7(x+4)-3(x+2)=x+7 c)2(x-1)-3(x+1)=4(x-2) d)-7x-4=2(4-1/5x) merci

2 Réponse

  • a)

    2+x-(5+2x)-7=3x+7

    2+x-5-2x-7=3x+7

    -x-10=3x+7

    -x-10+10=3x+7+10

    -x=3x+17

    -x-3x=3x+17-3x

    -4x=17

    -4x/-4=17/(-4)

    x=-17/4

    x=-4,25

    b)

    7(x+4)-3(x+2)=x+7

    7x+28-3x-6=x+7

    4x+22=x+7

    4x+22-22=x+7-22

    4x=x-15

    4x-x=x-15-x

    3x=-15

    3x/3=-15/3

    x=-5

    c)

    2(x-1)-3(x+1)=4(x-2)

    2x-2-3x-3=4x-8

    -x-5=4x-8

    -x-5+5=4x-8+5

    -x=4x-3

    -x-4x=4x-3-4x

    -5x=-3

    -5x/-5=-3/-5

    x=3/5

    x=0,6

    d)

    -7x-4=2(4-1/5x)

    -7x-4=8-2/5x

    -7x-4+4=8-2/5x+4

    -7x=12-2/5x

    -7x+2/5x=12-2/5x+2/5x

    -7*5/1*5x+2/5x=12

    -35/5x+2/5x=12

    -33/5x=12

    -6,6x=12

    -6,6x/6,6=12/6,6

    x=12/6,6

  • 2+ x - (5+2x)-7= 3x + 7

    2 + x - 5 - 2x - 7 = 3x + 7

    x - 2x - 3x = 7 + 7 + 5 - 2

    -4x = 17

    x = 17/-4

    7 (x+4)- 3(x+2) = x+7

    7x + 28 - 3x - 6 = x + 7

    3x = -15

    x = -5

    2(x-1)-3(x+1)=4(x-2)

    2x - 2 - 3x - 3 = 4x - 8

    - 5x = - 3

    x = 3/5

    -7x-4=2(4-1/5x)

    - 7x - 4 = 8 - 2/5 x

    - 7 x + 2/5 x = 12

    x = -20/11

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