A way does exist to eliminate taxes and public debt at the same time that unemployment and poverty are being eliminated: "For Crying Out Loud, Accept That A Solution Actually Exists" (a "3 min read" — including options for further reading — here in Medium).

It would require, in the U.S., a single Act of Congress. That Act would change only how money gets supplied for the economy.

You haven’t heard of this proposal because people aren’t talking and writing about it. Why people aren’t talking and writing about it, I have no idea.