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SMO 2009 Senior Round 1 Question 4

SMO · SMO 2009 Senior Round 1

Question 4

If $x,y$ are real numbers for which $|x|+x+5y=2$ and $|y|-y+x=7$, find $x+y$.
  1. $-3$
  2. $-1$
  3. $1$
  4. $3$
  5. $5$