Question

wozwiąż równania .

a. 1/3x - 2 =x+2

b. 1- 6/7 x = 4/7

c. 6( 1/4x - 2) = 18

d. x/6 - 1/6 = 1

e. -2(2x-1) = x/3

f. 2/5 (3-x) = -2

g. 3/4 (2-3x)= -6

h. 1/5 (x-3) = 9 -x

i. 0,6+x : 2 = x+1

Answer 1

a.

1/3x - 2 =x+2   /+2

1/3x = x+4   /-x

1/3x - x = 4

-2/3x = 4   /*(-3/2)

x = -12/2

x=-6

 

 

 

b.

1- 6/7 x = 4/7   /-4/7

1 - 4/7 - 6/7x = 0

3/7 - 6/7x = 0   /+6/7x

3/7 = 6/7x    /*7

3 = 6x   /:6

1/2 = x

 

 

c.

6( 1/4x - 2) = 18

3/2x - 12 = 18    /*2

3x - 24 = 36    /+24

3x = 36+24

3x = 60   /:3

x = 20

 

 

d.

x/6 - 1/6 = 1   /*6

x - 1 = 6    /+1

x = 7

 

 

 

e.

-2(2x-1) = x/3

-4x+2 = x/3     /*3

-12x+6 = x    /+12x

6 = 13x   /:13

6/13 = x

 

 

f.

2/5 (3-x) = -2

6/5 - 2/5x = -2    /-(6/5)

-2/5x = -2 -(6/5)

-2/5x = -16/5    /*5

-2x = -16    /:(-2)

x = 8

 

 

 

g.

3/4 (2-3x)= -6

6/4 - 9/4x = -6    /*4

6 - 9x = -24

-9x = - 30    /:(-9)

x = 30/9

x = 10/3

x = 3 i 1/3

 

 

h.

1/5 (x-3) = 9 -x

1/5x - 3/5 = 9 - x    /*5

x - 3 = 45 - 5x

-3 - 45 = -5x -x

-48 = -6x

48/6 = x

8 = x

 

 

i.

0,6+x : 2 = x+1   /*2

1,2+x = 2x+2

1,2-2 = 2x -x

-0,8 = x

x = -(8/10)

x = -(4/5)