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1960 AMC 12 Question 14

AMC12 · 1960 AMC 12

Question 14

If $a$ and $b$ are real numbers, the equation $3x-5+a=bx+1$ has a unique solution $x$ [the symbol $a\ne0$ means that $a$ is different from zero]:
  1. for all $a$ and $b$
  2. if $a\ne2b$
  3. if $a\ne6$
  4. if $b\ne0$
  5. if $b\ne3$