I tried to use interactive_simplex_method in SageMathCloud, and it seems the current model of InteractiveLPProblemStandardForm.run_simplex_method and LPDictionary.ELLUL to return a string of LaTeX code is not a good fit. (See screenshot.)

I propose to change these methods so they just call pretty_print repeatedly and return nothing. An optional keyword argument, show=False, would turn off output. This is used when, for example, run_simplex_method is called by final_dictionary.

Depends on #18292
Depends on #19097

CC: @novoselt @nathanncohen

Component: numerical

Issue created by migration from https://trac.sagemath.org/ticket/18852