Question

sabendo que a//b//c//, determine o valor x​

Answer 1

a) 9 / 12  =  x / x + 2

9 * (x + 2) = 12 * x

9x + 18 = 12x

12x - 9x = 18

3x = 18

x = 18/3

x = 6

b) 8 / 24  =  6 / x + 4

8 * (x + 4) = 24 * 6

8x + 32 = 144

8x = 144 - 32

8x = 112

x = 112/8

x = 14

c) 10 / 15  =  3x + 1 / 5x - 2

10 * (5x - 2) = 15 * (3x + 1)

50x - 20 = 45x + 15

50x - 45x = 15 + 20

5x = 35

x = 35/5

x = 7

d) 12 / 21  =  2x - 2 / 3x + 1

12 * (3x + 1) = 21 * (2x - 2)

36x + 12 = 42x - 42

42x - 36x = 12 + 42

6x = 54

x = 54/6

x = 9