First I simplified the first equation to:
x + y = 5xy. I got this by multiplying both sides of the equation by 'xy'.
Then we can substitute that into the second equation, getting:
3xy + 5xy = 4 + 5xy.
This simplifies to 3xy = 4.
And xy = 4/3.
Since the question is looking for x^2y + xy^2, that is equal to: (x+y)(xy).
Substituting the value back in, we have (5xy)(xy), and finally:
\(x^2y + xy^2 = {80\over9}\)