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Originally Posted by trev2023
Theres a flaw in your theory. If x=.999, then 10x is gonna equal 9.99, not 9.999~. that would mean that 9x=8.991, and x would equal .999, which makes sense, since this is what you started out with as x.
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I guess Pyro could have documented his steps a little more clearly.
His 9x=9 didn't come from multiplying 9*.999.... (Which would indeed give you 8.999...1.) Rather it came from subtracting the two equations above it.
[Actually, if you were to multiply out 9*.999..., since the .999... never ends, the 8.999...1 would be 8.999.... You'd never get to the 1. According to the postulate, this would be equal to 9, but we can't rely on that, since it's the postulate that we're trying to prove.]