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1969 AMC 12 Question 4

AMC12 · 1969 AMC 12

Question 4

Let a binary operation $*$ on ordered pairs of integers be defined by $(a,b)*(c,d)=(a-c,b+d).$ Then, if $(3,2)*(0,0)$ and $(x,y)*(3,2)$ represent identical pairs, $x$ equals:
  1. $-3$
  2. $0$
  3. $2$
  4. $3$
  5. $6$