Plz solve the question in the pic for hindi medium in copy
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Question :
Solve the following simultaneous equations -
( x + y )/xy = 3 & ( x - y )/xy = 1 .
Solution :
( x + y )/xy = 3
=> x + y = 3xy ........ (1)
( x - y)/xy = 1
=> x - y = xy ....... (2)
Adding (1) and (2)
=> x + y + x - y = 3xy + xy
=> 2x = 4xy
For x ≠ 0 ,
4y = 2
=> y = 2/4 = ½ .
Substituting y = ½
x + ½ = 3 x • ½
=> ( 2x + 1 )/2 = 3x/2
=> 2x + 1 = 3x
=> x = 1 .
Solution :
( x, y ) = ( 1 , ½ ) is the required solution set .
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