Zadanie
Rozwiąż równania
a) (6x-2)/4 = 3
b) 4 ( 1 – x) + 2 = –7
c) 5 – ( 3 – 4x ) = 5( 1 – x )
d) –5 – 3( x + 1 ) = –( –4x + 1)
e) (3x-5)/8 = 1/4 + x


Odpowiedź :

Odpowiedź:

a)

(6x - 2)/4 = 3  | * 4

6x - 2 = 4 * 3 = 12

6x = 12 + 2 = 14

x = 14/6 = 2 2/6 = 2 1/3

b)

4(1 - x) + 2 = - 7

4 - 4x = - 7 - 2

4 - 4x = - 9

- 4x = - 9 - 4

- 4x = - 13

4x = 13

x = 13/4 = 3 1/4

c)

5 - (3 - 4x) = 5(1 - x)

5 - 3 + 4x = 5 - 5x

2 + 4x = 5 - 5x

4x + 5x = 5 - 2

9x = 3

x = 3/9 = 1/3

d)

- 5 - 3(x + 1) = - (- 4x + 1)

- 5 - 3x - 3 = 4x - 1

- 8 - 3x = 4x - 1

- 3x - 4x = - 1 + 8

- 7x = 7

7x = - 7

x = - 7/7 = - 1

e)

(3x - 5)/8 = 1/4 + x  | * 8

3x - 5 = 1/4 * 8 + 8x

3x - 5 = 2 + 8x

3x - 8x = 2 + 5

- 5x = 7

5x = - 7

x = - 7/5 = - 1 2/5 = - 1,4