For the first equation:

\(\displaystyle{y}\geq{6}{x}-{24}\)

and for second equation:

\(\displaystyle{y}{<}{6}{x}-{24}\)

The given set of equations has solutions in common, as can be seen from the inequalities, as in one equation one side will be shaded and in another opposite side will be shaded.

Conclusion: The given set of equations has no solutions.