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Number of solutions to systems of equations (intermediate)

Problem

The given system has no solution.
{x+2y=k2x+4y=8
k can take all real values except
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
.
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