Solve.

(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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