Question

Solve : 4a-3/9 + 13a/108 = 8a-19/18

Answer 1

Finding solution

Given: (4a - 3)/9 + 13a/108 = (8a - 9)/18

To find: the required solution

Solution:

• Now, (4a - 3)/9 + 13a/108 = (8a - 19)/18

• or, { 12 (4a - 3) + 13a }/108 = (8a - 19)/18

• or, (48a - 36 + 13a)/108 = (8a - 19)/18

• or, (61a - 36)/108 = (8a - 19)/18

• or, 61a - 36 = 108 × (8a - 19)/18

• or, 61a - 36 = 6 (8a - 19)

• or, 61a - 36 = 48a - 114

• or, 61a - 48a = - 114 + 36

• or, 13a = - 78

• or, a = - 6

Answer: the required solution is a = - 6.