Question 846596
Hello.  You were correct up until you stopped at y = -13/2 and 5.  The word problem says that both numbers have to be integers, and -13/2 is not an integer.  So, 5 would be one of the integers.  To find the other integer, substitute 5 for y in x = 2y + 3:


x = 2(5) + 3 -----> x = 13


So, your equation would be set up as {{{xy=65}}} AND {{{x=2y+3}}} and your two integers would be 5 and 13