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Bonjour j’aurais besoin d’aide pour les équations svp :
A : 2+16x = 3 + 15x
B : 3x -14 = 9 -2x
C : 5x + 6 = 12 + 15x
D : 5x + 1 = 2x + 19
E : 8x + 3 = x + 15
F : 2x + 3 = 6x +11

Donnez les détails si possible. Merci à ceux qui m’aideront

Sagot :

LEALEBEAU40
Bonsoir,

A. 2 + 16x = 3 + 15x
16x - 15x = 3 - 2
x = 1

B. 3x -14 = 9 -2x
3x + 2x = 14 + 9
5x = 23
x = 23/5

C. 5x + 6 = 12 + 15x
5x - 15x = 12 - 6
-10x = 6
x = 6/-10

D. 5x + 1 = 2x + 19
5x - 2x = 19 - 1
3x = 18
x = 18/3
x = 6

E. 8x + 3 = x + 15
8x - x = 15 - 3
7x = 12
x = 12/7

F. 2x - 6x = 11 - 3
-4x = 8
x = 8/-4
x = -2
GD27

Réponse:

A : 2 + 16x = 3 + 15x

-2 -2

16x = 1 + 15x

-15x -15x

x = 1

B: 3x - 14 = 9 - 2x

+14 +14

3x = 23 - 2x

+2x +2x

5x = 23

÷5 ÷5

x = 23/5

C: 5x + 6 = 12 + 15x

-6 -6

5x = 6 + 15x

-15x -15x

-10x = 6

÷(10) ÷(10)

x = 6/-10

D: 5x +1 = 2x + 19

-1 -1

5x = 2x + 18

-2x -2x

3x = 18

÷3 ÷3

x = 3

E : 8x +3 = x + 15

-3 -3

8x = 12

÷8 ÷8

x = 1,5

F : 2x + 3 = 6x + 11

-11 - 11

2x - 8 = 6x

-2x -2x

-8 = 4x

÷4 ÷4

-2 = x

Bonne soirée

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