If xy=13 and both x and y are positive integers, then what is the sum of x + y? Please show work

14

Step-by-step explanation:

13 is a prime number

so it can only have the positive integer factors {1,13}

So {x,y} = {1,13} or {13,1}

In either case, 1+13 = 14

since both sides equal, there are infinitely many olutions.