Sagot :
bonjour,
a) x/2 = 4/3
• x/2 × 2 = 4/3 × 2
• x = 8/3 ✅
b) 3x/5 = 4/7
• 3x/5 × 5 = 4/7 × 5
• 3x = 20/7
• 3x ÷ 3 = 20/7 ÷ 3
• x = 20/7 × 1/3 = 20/21 ✅
c) 5a/4 = 3/2
• 5a/4 × 4 = 3/2 × 4
• 5a = 12/2
• 5a = 6
• 5a/5 = 6/5
• a = 6/5 ✅
d) 3/(2x - 1) / 2 = 5/6
• 3/(2x - 1) × 1/2 = 5/6
• 3/(4x - 2) = 5/6
• 3 = 5/6 × (4x - 2)
• 3 = 5(4x - 2) / 6
• 3 = (20x - 10) / 6
• 3 × 6 = 20x - 10
• 20x - 10 = 18
• 20x = 28
• x = 28/20 = 14/10 = 7/5 ✅
e) 5/2x = 5/(4x + 3) / 3
• 5/2x × 3 = 5/(4x + 3)
• 15/2x = 5/(4x + 3)
• 15/2x × (4x + 3) = 5
• (60x + 45) / 2x = 5
• 60x + 45 = 10x
• 50x = -45
• x = -45/50 = -9/10 ✅
Bonne journée !
bonjour
x /2 = 4 /3
3 x /6 = 8/6
3 x = 8
x = 8/3
b ) 3 x /5 = 4 /7
21 x /35 = 20/35
21 x = 20
x = 20/21
c ) 5 a/4 = 3 /2
5 a /4 = 6/4
5 a = 6
a = 6/5
d) 3 /( 2 x - 1 ) / 2 = 5 /6
3 / ( 2 x - 1 ) * 1/2 = 5 /6
3 / ( 4 x - 2 ) = 5/6
3 = 5/6 ( 4 x - 2 )
3 = ( 20 x - 10 ) / 6
3 *6 = 20 x - 10
18 + 10 = 20 x
- 20 x = - 28
x = - 28 / - 20 = 28/20 = 7/5
e) 5/ 2x = 5/(4x + 3) / 3
5/2x * 3 = 5/(4x + 3)
15/2x = 5/(4x + 3)
15/2x (4x + 3) = 5
(60x + 45) / 2x = 5
60x + 45 = 10x
60 x - 10 x = - 45
50 x = - 45
x = - 45/50 = - 9/10