Question

Resolva as seguintes equações: a) 4.(x-2) =4+2.(x-1) b)1/6-x/2=2x/3+1/4

Answer 1

• 4 . ( x - 2 ) = 4 + 2 . ( x - 1 )

4 x - 8 = 4 + 2 x - 2
4 x - 2 x = 4 - 2 + 8
2 x = 10
x = 10 / 2
x = 5

• 1 / 6 - x / 2 = 2 x / 3 + 1 / 4

MMC ( 6 , 2 , 3 , 4 ) = 12
6 , 2 , 3 , 4 I 2
3 , 1 , 3 , 2 I 2
3 , 1 , 3 , 1 I 3

2 - 6 x = 8 x + 3
- 6 x - 8 x = 3 - 2
- 14 x = 1
x = - 1 / 14

Answer 2

 a)
4.(x - 2) = 4 + 2.(x - 1)
4x - 8 = 4 + 2x - 2
4x - 8 = 2 + 2x
4x - 2x = 2 + 8
2x = 10
x = 10/2
x = 5

*************************

b)

1/6 - x/2 = 2x/3 + 1/4

 1    -   x    =    2x   +   1
-----    ----        -----     -----
  6        2           3        4

 2.1 - 6x         4.2x + 3.1
-------------  = -----------------
      12                12

2 - 6x = 8x + 3
2 - 3 = 8x + 6x
- 1 = 14x
14x = - 1
x = - 1/14

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Obs.: 
mmc (6,2,3,4) = 12

6,2,3,4: 2
3,1,3,2: 2
3,1,3,1: 3
-----------------
1,1,1,1  = 2.2.3 = 4.3 = 12