Bonjour,
Exercice 2 :
1)
[tex] \frac{4}{5}x+x=1728 [/tex]
5 × [tex] \frac{4}{5} [/tex]x + 5x = 5 × 1728
4x + 5x = 8640
9x = 8640
x = 960
2)
[tex] \frac{2}{3}x=988 [/tex]
[tex] \frac{3}{2} [/tex] × [tex] \frac{2}{3}x = \frac{3}{2} [/tex] × 988
x = 3 × 494
x = 1452
3)
18 + 2x = 40 + x
2x - x = 40 - 18
1x = 22
x = [tex] \frac{22}{1} [/tex]
x = 22
4)
12x - 3 = 5x + 18
12x - 5x = 18 + 3
7x = 21
x = [tex] \frac{21}{7} [/tex]
x = 3
5)
[tex]8x- \frac{3}{4} =2x- \frac{1}{4} [/tex]
[tex]8x - 2x = - \frac{1}{4}+ \frac{3}{4} [/tex]
[tex]6x = \frac{-1+3}{4} [/tex]
[tex]6x= \frac{2}{4} [/tex]
[tex]6x= \frac{1}{2} [/tex]
[tex]x= \frac{1}{12} [/tex]
[tex]x[/tex] ≈ 0.08
6)
[tex] \frac{24}{7}x+ \frac{1}{14} = \frac{3}{28} [/tex]
28 × [tex] \frac{24}{7}x [/tex] + 28 × [tex] \frac{1}{14} [/tex] = 28 × [tex] \frac{3}{28} [/tex]
4 × 24x + 2 = 3
96x + 2 = 3
96x = 3 - 2
96x = 1
x = [tex] \frac{1}{96} [/tex]
x ≈ 0.01
J'espère que ma réponse vous a aidée.
