Solve for x and y: xy/x+y=1/5; xy/x-y=1/7
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Answered by
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take xy=a
then, a/x+y=1/5
=> 5a=x=y - (1)
a/x-y=1/7
=> 7a=x-y -(2)
by adding (1) and (2)
7a=x-y
5a=x+y
=>12a=2x
=> 6a=x
=> 6xy=x ( because a=xy )
=> 6y=1
=> y=1/6
=> 7xy=x-y
=> 7x/6=x-1/6
=> 7x/6=(6x-1)/6
=> 7x= 6x-1
=> 7x-6x = -1
=> x= -1
hope this helps u....
pls mark brainliest if u like the answer
then, a/x+y=1/5
=> 5a=x=y - (1)
a/x-y=1/7
=> 7a=x-y -(2)
by adding (1) and (2)
7a=x-y
5a=x+y
=>12a=2x
=> 6a=x
=> 6xy=x ( because a=xy )
=> 6y=1
=> y=1/6
=> 7xy=x-y
=> 7x/6=x-1/6
=> 7x/6=(6x-1)/6
=> 7x= 6x-1
=> 7x-6x = -1
=> x= -1
hope this helps u....
pls mark brainliest if u like the answer
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