We have, 7 y 5 = y - 4 By transposition, 7 y 5 - y = - 4 Taking LCM of 5 and 1 = 5 on LHS ⇒ 7 y - 5 y 5 = - 4 By cross multiplication ⇒ 2 y = - 20 Dividing both the sides by 2 we get, ⇒ y = - 10 Therefore, y = - 10

Solve: 3 x + 2 3 = 2 x + 1

We have, 3 x + 2 3 = 2 x + 1 By transposition, ⇒ 3 x - 2 x = - 2 3 + 1 Taking LCM of 3 and 1 = 3 on RHS ⇒ x = - 2 + 3 3 = 1 3 Therefore, x = 1 3

Solve: x - 5 2 - x - 3 5 = 1 2

We have, x - 5 2 - x - 3 5 = 1 2 Taking LCM of 2 and 5 = 10 on LHS ⇒ 5 ( x - 5 ) - 2 ( x - 3 ) 10 = 1 2 By cross multiplication ⇒ 5 x - 25 - 2 x + 6 = 10 2 = 5 ⇒ 3 x = 5 + 19 ⇒ x = 24 3 = 8 Therefore, x = 8

Solve: 3 t - 2 4 - 2 t + 3 3 = 2 3 - t

We have, 3 t - 2 4 - 2 t + 3 3 = 2 3 - t Taking LCM of 3 and 4 = 12 on LHS and LCM of 3 and 1 = 3 on RHS ⇒ 3 ( 3 t - 2 ) - 4 ( 2 t + 3 ) 12 = 2 - 3 t 3 By cross multiplication, ⇒ 9 t - 6 - 8 t - 12 = 4 ( 2 - 3 t ) ⇒ 9 t - 6 - 8 t - 12 = 8 - 12 t ⇒ t - 18 = 8 - 12 t ⇒ t + 12 t = 8 + 18 ⇒ t = 26 13 = 2 Therefore, t = 2