Question 1183426
 x+y=5 & x^x+y^y =31

x^x and y^y values increase very quickly, there are only 2 integers that would satisfy this equation. x-3 and y=2 or vice versa
3^3 + 2^2 = 
27 + 4 = 31
obviously 3 + 2 = 5
x=3, y=2
or
x=2. y=3