Question

Rozwiąż równania i wykonaj sprawdzenie .

a) 2/3 = 3x - 2 /2x

b) 1/3 - 3 = 2/3 + 2x

c) 1/3x = x+2/2 - 1 .

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Answer 1

a)

 2/3 = 3x - 2 /2x   /* 6x

4x = 3(3x-2)

4x =  9x -6

4x – 9x = -6

-5x = -6    /: (-2)

x = 6/5

 

spr. 

L = 2/3

P = (3 * 6/5 - 2)/ 2 * 6/5 = (18/5 -2 ) : 12/5 = (3 i 3/5 -2) * 5/12 =

= 1 i 3/5  * 5/12 = 8/5 * 5/12 = 8/12 = 2/3

L=P

 

b)

 1/3 - 3 = 2/3 + 2x    /*3

1 – 9 = 2 + 6x

6x = 1-9-2

6x = -10  /:6

x = -10/6

x = -5/3

l = 1/3 – 3 = -2 i 2/3

P = 2/3 + 2 * (-5/3 ) = 2/3 – 10/3 = -8/3 = -2 i 2/3

L=P

 

c)

 1/3x = x+2/2 - 1  /*6

2x = 3(x+2)- 6

2x = 3x + 6 -6

2x – 3x = 0

-x =0

 x = 0

L = 1/3 x = 1/3 *0 = 0

P = x+2/2  - 1 = 1 -1 = 0

L =P