Question

descubra o valor de x​

Answer 1

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

Answer 2

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!)