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Solve: 6x + 3y = 7xy and 3x + 9y = 11xy

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The given equations are as follows: 

6x + 3y = 7xy ………….(i) 

3x + 9y = 11xy …………(ii) 

For equation (i), we have: 

For equation (ii), we have:

On substituting 3/y = v and 1/x = u in (iii) and (iv), we get: 

6v + 3u = 7 ………..(v) 

3v + 9u = 11 ……….(vi) 

On multiplying (v) by 3, we get: 

18v + 9u = 21 ………(vii) 

On substituting y = 3/2 in (iii), we get:

⇒ x = 1 

Hence, the required solution is x = 1 and y = 3/2

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