Bonjour, bonsoir pouvez vous m'aider à résoudre ces équations svp​

Réponse :

Bonsoir

Explications étape par étape :

1. 4(x + 2) = x + 17

4x + 8 = x + 17

4x - x = 17 - 8

3x = 9

x = 9/3

x = 3

S = {3}

2. - 3 (2x + 1) = 2x + 13

- 6x - 3 = 2x + 13

- 3 - 13 = 2x + 6x

- 16 = 8x

- 16/8 = x

x = - 2

S = {- 2}

3. 5 (4x - 7) = - 5x + 15

20x - 35 = - 5x + 15

20x + 5x = 35 + 15

25x = 50

x = 50/25

x = 2

S = {2}

4. - (2x - 10) = 11x + 49

- 2x + 10 = 11x + 49

- 2x - 11x = 49 - 10

- 13x = 39

x = 39/-13

x = - 3

S = {- 3}

exercice 42

1. 3(x + 5) - 3 = 2(x + 7) + 4x - 9

3x + 15 - 3 = 2x + 14 + 4x - 9

3x + 12 = 6x + 5

12 - 5 = 6x - 3x

7 = 3x

7/3 = x

S = {7/3}

2. - 4 ( 3x + 7) + 15 = 7(2x + 3) - 21

- 12x - 28 + 15 = 14x + 21 - 21

- 12x - 13 = 14x

- 13 = 14x + 12x

- 13 = 26x

- 13/26 = x

- 1/2 = x

S = {- 1/2}