Answer :
(i)
Given:
We first put x = 0 in the expression and obtain:
⇒ 9/21 = -5/3 which does not hold true.
∴ x=0 is not a solution.
Now, let ……………… (1)
Multiply numerator and denominator of second expression by 4x:
……………….(2)
∴ From equation (1) and (2), we get:
Cross multiply and obtain:
⇒ 28x – 35 = 6x + 9
⇒ 28x – 6x = 9 + 35
⇒ 22x = 44
⇒ x = 44/22
⇒ x = 2
∴ x=2 is the solution.
(ii)
Given:
We first put y = 0 in the expression and obtain:
⇒ (-12)/(-4) = 8/1 which does not hold true.
∴ y=0 is not a solution.
Now, let ……………… (1)
Multiply numerator and denominator of second expression by 5y:
……………….(2)
∴ From equation (1) and (2), we get:
Cross multiply and obtain:
⇒ y + 8 = 3 + 6y
⇒ 6y – y = 8 - 3
⇒ 5y = 5
⇒ y = 1
∴ y=1 is the solution.
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