Question

resposta a) 3x-11=x-11 b) 9x+2=7x c) 11x+17=10x+13 d) x+7x-2x=96+2x e) x+x/4=20 f) x/2-x/5=21 g) x-x/3=6+x/2 h) 2x/5-2=x/4+4 i) 6x-4(x-5)-(5-3x)=0 j) 10(x+1)-6=2(x-3)-10

Answer 1

a)
3x - 11 = x - 11
3x - x = - 11 + 11
2x = 0
x = 0/2
x = 0

*************************
b)

9x + 2 = 7x
9x - 7x = - 2
2x = - 2
x = - 2/2
x = - 1

**************************
c)
11x + 17 = 10x + 13
11x - 10x = 13 - 17
x = - 4

******************************
d)
x + 7x - 2x = 96 + 2x
8x - 2x = 96 + 2x
6x = 96 + 2x
6x - 2x = 96
4x = 96
x = 96/4
x = 24

******************************
e)
x + x/4 = 20

x +    x     =  20
       -----
         4

4x + x =  80
---------   ------
     4         4

5x = 80
x = 80/5
x = 16

******************************
f)
x/2-x/5=21

  x    -  x    =   21
-----    ----
  2        5

5x - 2x         10.21
----------  =  ----------
   10                10
 
3x = 210 
x = 210/3
x = 70
********************************
g)
x - x/3= 6 + x/2

x - x/3 - x/2 = 6

x -   x    -   x   =  6
     -----     ----
       3        2

6x - 2x - 3x =  36
---------------    ------
       6               6

6x - 5x = 36
x = 36

******************************
h)
2x/5 - 2 = x/4 + 4
2x/5 - x/4 = 4 + 2
2x/5 - x/4 = 6

 2x    -   x    =   6
------    -----
  5         4

4.2x - 5x          20.6
--------------  = ---------
      20                20

8x - 5x = 120
3x = 120
x = 120/3
x = 40

**********************************
i)
6x - 4(x - 5) - (5 - 3x) = 0
6x - 4x + 20 - 5 + 3x = 0
2x + 20 - 5 + 3x = 0
2x + 3x + 15 = 0
5x = - 15
x = - 15/5
x = - 3

******************************************
j)
10.(x + 1) - 6 = 2(x - 3) - 10
10x + 10 - 6 = 2x - 6 - 10
10x + 4 = 2x - 16
10x - 2x = -16 - 4
8x = - 20
x = - 20  (:4)
      --------
          8   (:4)

x = - 5
      ------
         2

Answer 2

Resposta:

a)

3x - 11 = x - 11

3x - x = - 11 + 11

2x = 0

x = 0/2

x = 0

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

b)

9x + 2 = 7x

9x - 7x = - 2

2x = - 2

x = - 2/2

x = - 1

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

c)

11x + 17 = 10x + 13

11x - 10x = 13 - 17

x = - 4

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

d)

x + 7x - 2x = 96 + 2x

8x - 2x = 96 + 2x

6x = 96 + 2x

6x - 2x = 96

4x = 96

x = 96/4

x = 24

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

e)

x + x/4 = 20

x +    x     =  20

      -----

        4

4x + x =  80

---------   ------

    4         4

5x = 80

x = 80/5

x = 16

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

f)

x/2-x/5=21

 x    -  x    =   21

-----    ----

 2        5

5x - 2x         10.21

----------  =  ----------

  10                10

 

3x = 210  

x = 210/3

x = 70

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

g)

x - x/3= 6 + x/2

x - x/3 - x/2 = 6

x -   x    -   x   =  6

    -----     ----

      3        2

6x - 2x - 3x =  36

---------------    ------

      6               6

6x - 5x = 36

x = 36

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

h)

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

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

2x/5 - x/4 = 6

2x    -   x    =   6

------    -----

 5         4

4.2x - 5x          20.6

--------------  = ---------

     20                20

8x - 5x = 120

3x = 120

x = 120/3

x = 40

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

i)

6x - 4(x - 5) - (5 - 3x) = 0

6x - 4x + 20 - 5 + 3x = 0

2x + 20 - 5 + 3x = 0

2x + 3x + 15 = 0

5x = - 15

x = - 15/5

x = - 3

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

j)

10.(x + 1) - 6 = 2(x - 3) - 10

10x + 10 - 6 = 2x - 6 - 10

10x + 4 = 2x - 16

10x - 2x = -16 - 4

8x = - 20

x = - 20  (:4)

     --------

         8   (:4)

x = - 5

     ------

        2

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