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6x + 3y = 6xy
divide each term with xy ,
=>6/y + 3/x = 6 ---( 1 )
2x + 4y = 5xy
divide each term with xy , we get
=> 2/y + 4/x = 5 ---( 2 )
Let 1/x = a , 1/y = b
6/y + 3/x = 6 => 6b + 3a = 6 ---( 3 )
2/y + 4/x = 5 => 2b + 4a = 5 ----( 4 )
In equation (4) , multiply 3 in each side...
we get,
6b+12a=15.......(4)
from equation(3) and (4), we get
6b + 3a = 6
6b + 12a = 15
__________
-9a = -9
a = ( -9 )/( -9 )
a = 1
Put the value of a in equation (4), we get...
2b + 4 = 5
2b = 5 - 4
b = 1/2
Now we get the value of a and b....
Therefore ,
1/x = a = 1 =>x = 1 ,
1/y = b = 1/2 => y = 2
Hope it will help you ✌️
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