Question

Rozwiąż równania: (z rozpisaniem, proszę)

a) 3-x = 2x+6

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

c) 2-(x-3) = 0.5x-1

d) 5x(x-2)-x(5x-2) = -4

e) (2x:3) + (5x:2) = 19

f) (4x:9) - (5x:12) = 1

g) (3x:2) + (x:6) - (2x:9) = 13

Answer 1

a)      3-x = 2x+6

-x – 2x =  6 – 3

- 3x  = 3   /: (-3)

x = -1

 

b)      x+1/2x-3 = 2x  /* 2

2x + x – 6 = 4x

2x + x – 4x = 6

-x = 6     /* (-1)

X =  -6

 

c)       2-(x-3) = 0.5x-1

2 – x + 3 = 0,5x – 1

-x – 0,5 x = -1 -2 – 3

-1,5x = -6     /: (-1,5)

x = 4

 

d)      5x(x-2)-x(5x-2) = -4

5x² - 10x – 5x² + 2x = -4

-8x = -4    /: (-8)

x= 4/8

x = 1/2

 

e)      (2x:3) +  (5x:2 )= 19    /* 6

4x + 15x = 114

19x = 114   /: 19

x = 6

 

f)(4x:9 )-( 5x:12 )= 1      /* 36

16x – 15x = 36

x = 36

 

 

g) (3x:2) + (x:6) - (2x:9) = 13      /* 18

27x + 3x – 4x = 234

26x = 234    /: 26

x = 9