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2013 AMC 10B Question 11

AMC10 · 2013 AMC 10B

Question 11

Real numbers $x$ and $y$ satisfy the equation $$
x^2+y^2=10x-6y-34.
$$ What is $x+y?$
  1. $ 1 $
  2. $ 2 $
  3. $ 3 $
  4. $ 6 $
  5. $ 8 $