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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