x^3+y^3=(x+y)((x+y)^2-3xy)=35

x^2y+xy^2=xy(x+y)=30

x+y=a, xy=b

{a(a^2-3b)=35

{ab=30

{a^3-3ab=a^3-3*30=35

a^3=125

a=5

b=6

x+y=5

xy=6

x=2, y=3

x=3, y=2