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Number of solutions to systems of equations (intermediate)

Problem

The given system has no solution.
{x+2y=k2x+4y=8\begin{cases} x+2y= k \\\\ 2x+4y=-8 \end{cases}
k can take all real values except
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, start text, p, i, end text or 2, slash, 3, space, start text, p, i, end text
.
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