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1968 AMC 12 Question 14

AMC12 · 1968 AMC 12

Question 14

If $x$ and $y$ are nonzero numbers such that $x=1+\dfrac1y$ and $y=1+\dfrac1x,$ then $y$ equals:
  1. $x-1$
  2. $1-x$
  3. $1+x$
  4. $-x$
  5. $x$