Question

A) 8b - 3 = 5b + 6
B) 2y + 9 = 10 - y
C) z - 7 = 1 + 2z
D) 5 + 4a = a - 3
E) 9w - 6 = 8w
2
F) 5(2x-1) = 3(x-4)
G) 16 - x = -8 - 4x
H) 4x - 12 = 2 (x+7) + 6
I) x - 3 = 4 - x
4 3
J) x + 7 = 11 - 5x
6 2 3

Answer 1

A)
8b - 3 = 5b + 6
8b - 5b = 6 + 3
3b = 9
b = 9/3
b = 3

*************************
B)
2y + 9 = 10 - y
2y + y = 10 - 9
3y = 1
y = 1/3

*****************************
C)
  z - 7 = 1 + 2z
- 7 - 1 = 2z - z
- 8 = z
z = - 8

¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨¨
D)
5 + 4a = a - 3
4a - a = - 3 - 5
3a = - 8
a = - 8
       -----
        3


**************************
E) 9w - 6 = 8w
    ------
      2

9w - 2.6 = 2.8w
-----------   ---------
       2           2

9w - 12 = 16w
- 12 = 16w - 9w
- 12 = 7w
7w = - 12
w = - 12/7

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

F)
5.(2x - 1) = 3.(x - 4)
10x - 5 = 3x - 12
10x - 3x = -12 + 5
7x = - 7
x = - 7/7
x = - 1

***************************
G)
16 - x = - 8 - 4x
4x - x = - 8 - 16
3x = - 24
x = -24/3
x = - 8

*********************************
H)
4x - 12 = 2.(x + 7) + 6
4x - 12 = 2x + 14 + 6
4x - 12 = 2x + 20
4x - 2x = 20 + 12
2x = 32
x = 32/2
x = 16

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

I) x - 3 =   4 - x
        ---  ----
         4     3

12x - 3.3        4.4 - 12x
-------------  =  ------------
     12                  12

12x - 9 = 16 - 12x
12x + 12x = 16 + 9
24x = 25
x = 25
      -----
       24

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

J) x + 7 =  11  -  5x
         ---    ----   ----
          6      2       3

6x + 7 =   3.11 - 2.5x
---------     ------------------
   6                 6

6x + 7 = 33 - 10x
6x + 10x = 33 - 7
16x = 26
x =   26  (:2)
       ------
        16  (:2)

x = 13
      -----
        8

***********************
6,2,3: 2
3,1,3: 3
---------------
1,1,1  = 2.3 = 6