Final answer:
The correct answer to the question regarding which of the following is not a method of updating legacy systems is b) backoffice ware. This term does not represent a recognized method for updating or integrating legacy systems with modern technologies.
Step-by-step explanation:
The question at hand deals with methods of updating legacy systems. The specified options are a) enterprise application integration, b) backoffice ware, c) screen scraper, and d) complete replacement. All but one of these are recognized methods used for updating or integrating older systems with newer technologies. Enterprise application integration (EAI) is a methodology for allowing different enterprise systems to communicate directly or indirectly. A screen scraper is a tool that captures the display output from one system and translates it to the input of another system, essentially integrating the old user interface into a more modern environment. Complete replacement, although sometimes considered the last resort due to its high cost and risk, is a method where the entire legacy system is decommissioned and replaced with a modern system.
However, 'backoffice ware' does not correspond to a specific, recognized method for updating legacy systems and appears to be either a made-up term or a typo. Therefore, the correct answer is b) backoffice ware, which is not a method of updating legacy systems.