👤

bonjour!
pouvez-vous m'aider pour cet exercice?
5(x-1)+3(2-x)=0.
7(x+4)-3(x+2)=x+7.
2(x-1)-3(x+1)=4(x-2).
-1/2x+3=x-7.
3/2x+4=2x-5.
3x+5=-7/9.

merci ďavance❤


Répondre :

Bonjour,

a. [tex]5.(x - 1) + 3.(2 - x) = 0[/tex]

[tex]5x - 5 + 6 - 3x = 0[/tex]

[tex]2x + 1 = 0[/tex]

[tex]2x = - 1[/tex]

[tex]x = - \frac{1}{2} [/tex]

b. [tex]7.(x + 4) - 3.(x + 2) = x + 7[/tex]

[tex]7x + 28 - 3x - 6 = x + 7[/tex]

[tex]4x + 22 = x + 7[/tex]

[tex]3x + 15 = 0[/tex]

[tex]3x = - 15[/tex]

[tex]x = - \frac{15}{3} = - 5[/tex]

c. [tex]2.(x - 1) - 3.(x + 1) = 4.(x - 2)[/tex]

[tex]2x - 2 - 3x - 3 = 4x - 8[/tex]

-x -5 = 4x -8
-5x +3 = 0
-5x = -3
x = -3/-5 =0.6

bonjour

5(x-1)+3(2-x)=0.

5 x - 5 + 6 - 3 x = 0

2 x = - 6 + 5

2 x = - 1

x = - 1/2

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

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

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

3 x = -  15

x = - 15/3 = - 5

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

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

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

- 5 x = - 3

x = 3/5

-1/2x+3=x-7.

- 0.5 x - x = - 7 - 3

- 1.5 x = - 10

x =   100/15  = 20/ 3

3/2x+4=2x-5.

3 x / 2 - 2 x = - 5 - 4

3 x /2 - 4 x /2 = - 9

- x /2 = - 18/2

- x = - 18

x = 18

3x+5=-7/9.

3 x = - 7/9 - 5

27 x /9 = - 7/9 - 45/9

27 x = - 52

x = -  52/27