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AMC10 2027 - Self-practice Set 5 Question 8

AMC10 · AMC10 2027 - Self-practice Set 5

Question 8

Distinct nonzero real numbers $x,y$ satisfy $x+\frac2x=y+\frac2y$. Find $xy$.
  1. $\frac14$
  2. $\frac12$
  3. $1$
  4. $2$
  5. $4$