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SMO 2008 Senior Round 1 Question 2

SMO · SMO 2008 Senior Round 1

Question 2

Suppose that $x,y$ are real numbers satisfying all three conditions $3x-2y=4-p$, $4x-3y=2+p$, and $x\gt y$. What are the possible values of $p$?
  1. $p\gt -1$
  2. $p\lt 1$
  3. $p\lt -1$
  4. $p\gt 1$
  5. $p$ can be any real number.