I live in PA and Work in Delaware. Why do I owe delaware state tax.

I live in PA but worked part of the year in PA and part of the year in DE.  I owe PA state tax as well as owe DE state tax.  I am not understanding the DE state tax owed.  Please help.
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    File a non-resident (joint if filing jointly) for the DE source income. Then on your resident PA return the DE income will appear, and you will get credit for the net taxes you paid to DE.
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