Question

Rozwiąż równania:

a) 18x - 49 = 6x+39

b) 4x-11- (x-6) = 3(x-1)-2

c)12(x-3)+1 = -4(x+2)-5

d)½ x - 3 = ⅔(x+6)

e)2+

f)

g)

Answer 1

a)

18x - 49 = 6x+39

18x - 6x = 39 + 49

12x = 88

x = 88/12 = 22/3

x = 7 i 1/3

 

b)

4x-11- (x-6) = 3(x-1)-2

4x - 11 - x + 6 = 3x - 3 - 2

3x - 5 = 3x - 5

3x - 3x = -5 + 5

0 = 0

równanie posiada nieskonczenie wiele rozwiazan

 

c)

12(x-3)+1 = -4(x+2)-5

12x - 36 + 1 = -4x - 8 - 5

12x - 35 = -4x - 13

12x + 4x = -13 + 35

16x = 22

x = 22/16

x = 11/8

x = 1 i 3/8

 

d)

½ x - 3 = ⅔(x+6)

1/2x - 3 = 2/3x + 12/3

1/2x - 2/3x = 4 + 3

3/6x - 4/6x = 7

-1/6x = 7

x = - 42

 

e)

2 + (4x - 5)/4 = x + 3     /*4

8 + 4x - 5 = 4x + 12

4x - 4x = 12 - 3

0 = 9 (sprzecznosć)

równanie nie posiada rozwiazania

 

f)

x/2 + x/3 + 1 = x         /*6

3x + 2x + 6 = 6x

5x - 6x = - 6

-x = -6

x = 6

 

g)

.................................    /*4

2(18x - 6) = 3(8x - 8/3)

36x - 12 = 24x - 8

36x - 24x = -8 + 12

12x = 4

x = 4/12

x = 1/3