Question

Rozwiąż równania :

a) (2x-3) : 3 = (2-x) :5 - x

b) (x +1) : 2 - (x-1) :3 = 1/4

c) (4x+7) : 2 - (5x-1) : 6= x+5

d) (x+5) :4 - (2x +1):8 = 1/2 ( 2-x)

Answer 1

a) (2x-3) : 3 = (2-x) :5 - x

⅔x - 1 = ⅖-⅕x -x

⅔x +x+⅕x =  1⅖

1⅗x = 1⅖      /:1⅗

x = 1/7

b) (x +1) : 2 - (x-1) :3 = ¼

½x+½ - ⅓x +⅓ = ¼

½x -⅓x = ¼ - ½ - ⅓

⅙x = -7/12                /:⅙

x = -3½

c) (4x+7) : 2 - (5x-1) : 6= x+5

2x + 3½ -⅚x + ⅙ = x+5

2x-⅚x -x = 5-3½-⅙

⅙x = 1⅓    /:⅙

x = 8

d) (x+5) :4 - (2x +1):8 = 1/2 ( 2-x)

¼x+1¼ -¼x - ⅛ = 1 -½x

¼x-¼x+½x = 1-1¼

½x = ¼      /:½

x = ½

 

Licze na nja :p