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1960 AMC 12 Question 30

AMC12 · 1960 AMC 12

Question 30

Given the line $3x+5y=15$ and a point on this line equidistant from the coordinate axes. Such a point exists in:
  1. none of the quadrants
  2. quadrant $\mathrm{I}$ only
  3. quadrants $\mathrm{I},$ $\mathrm{II}$
    only
  4. quadrants $\mathrm{I},$ $\mathrm{II},$ $\mathrm{III}$
    only
  5. each of the quadrants