Let me start with this: if you want to change the Posting Date of a Posted Purchase Invoice, you will also end up affecting the Posted Purchase Invoice number.
In all cases, first you must void (unapply and void) the check.
Traditionally in NAV (the sister product), you would then handle the reversal process of the Invoice by either posting a Credit Memo (applied to Invoice), then re-posting an Invoice.
The new and easier option is to go to the Posted Purchase Invoice, click on Correct in the ribbon. This posts a credit memo in the background and applies it to the original Posted Purchase Invoice, then gives you an unposted Purchase Invoice to correct (like changing the Posting Date, or something else) and post.
BUT, here is what will happen: you will need to update the Vendor Invoice No. field (you can append a "-1" or "a" to it) since it requires a unique value for the vendor in question. Also, when you post this invoice, it WILL get the next available Posted Purchase Invoice number.
So, as a I mentioned at the top: if you want to change the Posting Date of the invoice, you will also end up affecting the Posted Purchase Invoice number.
I hope this helps. If my response has answered your question, please verify by clicking Yes next to "Did this answer your question?"