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6x + 3y = 6xy
=>(6x+ 3y)xy = 6
=>6/y + 3/x = 6
=> 2/y + 1/x = 2
and ,
2x + 4y = 5xy
=>( 2x+ 4y) /xy= 5
=> 2/y + 4/x = 5
Let 1/x be 'q' and 1/y be 'p'
So , the above equations became
2p + q = 2------> (1)
and , 2q + 4q= 5 ----->( 2)
(1) - (2)
=> 2p + q -2q -4q = 2- 5
=> -3q = -3
=> q = 1
=> 1/x = 1
=> x = 1
And ,
2q +1= 2
=> 2q = 1
=> q = 1/2
=> 1/y = 1/2
=> y = 2
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