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2006 AMC 10B Question 12

AMC10 · 2006 AMC 10B

Question 12

The lines $x=\tfrac14 y+a$ and $y=\tfrac14 x+b$ intersect at the point $(1,2).$ What is $a+b?$
  1. $0$
  2. $\dfrac{3}{4}$
  3. $1$
  4. $2$
  5. $\dfrac{9}{4}$