Question

please give answers with steps ​

Answer 1

Here is full explanation to your question :-

Answer 2

Answer:

( i ) - 4 /3    ( ii ) 16 / 7 , 1

Step-by-step explanation:

( i )  (t + 1 / 2) + (t + 3 / 3) = (2t + 5 / 6)

      (t + 1) * 3 + (t + 3) * 2 = (2t + 5 / 6)

      (3t + 3 + 2t + 6) / 6 = (2t + 5 / 6)

      (3t + 2t + 3 + 6) / 6= (2t + 5 / 6)

      5t + 9 / 6 = 2t + 5 / 6                                    

( As two 6 are in same place on both sides of equation they get cancelled)

      5t + 9 = 2t + 5

      5t - 2t = 5 - 9

      3t = - 4

      t = - 4/3

( ii ) 7m - 3 ( m - 2 ) = 2 ( 3m - 5 )

      7m² - 14m - 3m + 6 = 6m - 10

      7m² = 6m + 14m + 3m - 6 - 10

      7m² = 23m - 16

      7m² - 23m + 16    

      7m² - 7m - 16m + 16

      7m ( m - 1 ) - 16 ( m - 1 )

      ( 7m - 16 ) ( m - 1 )

     So the roots of m is 16 / 7 ,  1