Hey , guys . This problem was asked in an olympiard and i don't have a clue of how to solve it. 1) If x + y = 5 and x^y + y^x = 17 .. find all possible values of x and y . 2) 16^2x+y + 16^y+2x = 1 , find all possible values of x and y . In the first question i tried to convert the whole equation into y but that didn't work. In the second question i got to :- 16^x + 16^y = 16^-x-y .