Bitcoin can't be deleted but it can become dormant and unaccessible thus it will be completely removed from market circulation if you delete the private key and any backup of the address holding the Bitcoin.  That is the way to "delete" a bitcoin from the market.

It makes no sense to burn cash with the aim of deleting BTC.  As stated in the earlier replies even if you burn the cash from converting Bitcoin, the Bitcoin still stays in the market and is ready to be traded by the people who bought your BTC.