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}
