Question

(3t + 1)/16 - (2t - 3)/7 = (t+3)/8 + (3t - 1)/14 Solve the equation

Answer 1

given,
(3t + 1)/16 - (2t - 3)/7 = (t+3)/8 + (3t - 1)/14
⇒ 7(3t-1) - 16(2t-3)    =  14(t+3) +8(3t-1)
    16 × 7                            14 × 8
⇒21t + 7 -32 +48       = 14t +42+ 24t -8
       112                                112
⇒21t - 32t -14t -24t  = -48-7+42-8
⇒ -49 t = - 21
⇒t = 21/ 49
⇒ t = 3/7

Answer 2

Answer:

Step-by-step explanation:

given,

(3t + 1)/16 - (2t - 3)/7 = (t+3)/8 + (3t - 1)/14

⇒ 7(3t-1) - 16(2t-3)    =  14(t+3) +8(3t-1)

   16 × 7                            14 × 8

⇒21t + 7 -32 +48       = 14t +42+ 24t -8

      112                                112

⇒21t - 32t -14t -24t  = -48-7+42-8

⇒ -49 t = - 21

⇒t = 21/ 49

⇒ t = 3/7

hence proved