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If 1/x + 1/y = 3 and 1/x - 1/y = 7, what is the value of x + y?  Express your answer as a common fraction.

 Aug 8, 2021
 #1
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Add the two equations together to get

 

1/x + 1/x = 10

2/x =10

x = 1/5      

 

then find y     1/ 1/5   + 1/y = 3

                           5 + 1/y = 3

                            1/y = -2

                              y = -1 /2             you can finish ...yah?

 Aug 9, 2021

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