Why would white do 5. dxc6 and not 5. Rxg7?  It would have rook and bishop vs rook and lessen pressure on the king?

White makes many blunders here this is not an accurate puzzle

1- Fxe4 negates the whole puzzle and leads to a losing endgame for black, down a rook

2- assuming white does your 1st move, he can still Be3 and be safe

and assuming white plays your first four moves he can still save himself with

5-Rb8

RobTzu wrote: Why would white do 5. dxc6 and not 5. Rxg7?  It would have rook and bishop vs rook and lessen pressure on the king?

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5. Rxg7 still loses to Re6

5. Rg1+ Ka2 virtually forced

6. Kxc2 with mate threat 7. Ra1