Question

a) 1/2.(b+6)-1/3(3-b)=1/5(2b+7) b) -1/3.(m-4)+2/5.(2-3m)=2/6(-m-9) c)3a+2/8+a-5/2-1/5=6/5 d) m+1/9=2m+3/3

Answer 1

a) 1/2.(b+6)-1/3(3-b)=1/5(2b+7)

    b/2 + 3 - 1 + b/3 = 2/5b + 7/5

    b/2 + b/3 - 2b/5 = 7/5 - 3 + 1

    b/2 + b/3 - 2b/5 = 7/5 - 2      mmc 2,3,5  = 30

      15b + 10b - 12b = 42 - 60

             13b = - 18

                b = - 18/13

b) -1/3.(m-4)+2/5.(2-3m)=2/6(-m-9)

     - m/3 + 4/3 + 4/5 -6m/5 = -2m/6 - 18/6

     -m/3 + 4/3 + 4/5 - 6m/5 = -m/3  - 3

     -m/3 - 6m/5 + m/3 = -3  - 4/3 - 4/5

               - 6m/5 = - 3 - 4/3 - 4/5   mmc

                  -18m/15 = - 45/15 - 12/15

                  - 18m = -45 - 12

                       - m = -57/18   (-1)

                          m = 19/6

c)3a+2/8+a-5/2-1/5=6/5

  3a + a = 6/5 - 2/8 + 5/2 + 1/5

     4a = 48/40 - 10/40 + 100/40 + 8/40

  40. 4a = 48 - 10 + 100 + 8

     160a = 146

           a = 146/160

           a = 73/80

d) m+1/9=2m+3/3

   m - 2m = 1 - 1/9

       - m =  9/9 - 1/9

         m = - 8/9