y = 9x + 47
and
xy = 18601860
substitute for y in second equation:-
x(9x + 47) = 18601860
9x^2 + 47x - 18601860 = 0
factoring 18601860 is a pain so we use the quadratic formula:-
x = [(-47 +/- sqrt (47^2 - 4*9*-18601860)] / 18
this gives x = 1435 , -1440 so we want x=1435 as its positive
this make y = 9(1435) + 47 = 12962
the 2 integers are 1435 and 12962
