SOLUTION: 2^x+3^y=13 and x+y=13 solve this equation please explain!!

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Question 955123: 2^x+3^y=13 and x+y=13 solve this equation please explain!!
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2By=13
y=13-x
So then,
2%5Ex%2B3%5E%2813-x%29=13
2%5Ex%2B3%5E13%2A3%5E%28-x%29=13
2%5Ex%2B3%5E13%2F3%5Ex=13
This equation has no real solution.
So the two curves never intersect.
There is no solution.