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.

Guest Feb 21, 2021

#1**0 **

Let \(\frac{1}{x} = a\) and \(\frac{1}{y} = b..\)

We can rewrite the system like so:

a + b = 3

a - b = 7

Adding, we get a = 5 and b = -2, which means that x = 1/5 and y = -1/2.

x + y = **-3/10**

CubeyThePenguin Feb 21, 2021