Mathematics, 05.01.2020 02:31 sunshine52577oyeor9
If x+y=1/x+1/y and x+y≠0, what is the value of xy?
Answers: 2
![x+y=\dfrac{1}{x}+\dfrac{1}{y}\\ \\x+y=\dfrac{y+x}{xy}\ [\text{Add fractions in the left side}]\\ \\1=\dfrac{1}{xy}\ [\text{Divide by }x+y \ (\text{it can be done since})\ x+y\neq 0]\\ \\xy=1\ [\text{Cross multiply}]](/tpl/images/0442/9087/cbad2.png)
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If x+y=1/x+1/y and x+y≠0, what is the value of xy?...
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