descubra o valor de x
Soluções para a tarefa
Resposta:
d)
x/4 = 9/18
18x = 36
x = 36/18
x = 2
e)
10/15 = (3x + 1)/(5x - 2)
15(3x + 1) = 10(5x - 2)
45x + 15 = 50x - 20
45x - 50x = -20 - 15
-5x = -35
5x = 35
x = 35/5
x = 7
f)
(x - 5)/(x + 1) = 6/24
6(x + 1) = 24(x - 5)
6x + 6 = 24x - 120
6x - 24x = -120 - 6
-18x = -126
18x = 126
x = 126/18
x = 7
g)
8/(x + 1) = 12/(2x - 6)
12(x + 1) = 8(2x - 6)
12x + 12 = 16x - 48
12x - 16x = -48 - 12
-4x = -60
4x = 60
x = 60/4
x = 15
Explicação passo-a-passo:
9/x = 18/4
9/x = 9/2
x = 2
e)
10/15 = (3x+1)/(5x-2)
(5x-2) • 10 = (3x + 1) • 15
50x - 20 = 45x + 15
50x - 45x = 15 + 20
5x = 35
x = 35/5
x = 7
g)
(2x-6)/(x+1) = 12/8
(2x-6)/(x+1) = 3/2
(2x-6) •2 = 3 • (x + 1)
4x - 12 = 3x + 3
4x - 3x = 3 + 12
x = 15
j)
(x — 5)/(x + 1) = 6/24
(x - 5)/(x + 1) = 1/4
(x - 5) • 4 = (x + 1) • 1
4x - 20 = x + 1
4x - x = 1 + 20
3x = 21
x = 21/3
x = 7
Espero ter ajudado bastante!)