What would happen if an electrolyte conducts both ions and electrons?

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Homework Statement



In an electrochemical cell what would happen if an electrolyte is conducting both ions and electrons?


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The Attempt at a Solution



So I know electrolytes usually conduct ions and are electronic insulators. I know the electric current that passes through the cell is related to the transport of ions and electrons. So if the electrolyte was conducting both ions and electrons, would there be no current at all?

Thanks for your help.
 
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Quite the opposite, electrolyte conducting both ions and electrons will have probably much lower resistance.