this post was submitted on 27 Jun 2024
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???
Not sure what you're aiming for. It proves that the setup works, I suppose.
x = 0.555...
10x = 5.555...
10x = 5 + 0.555...
10x = 5+x
9x = 5
x = 5/9
5/9 = 0.555...
So it shows that this approach will indeed provide a result for x that matches what x is supposed to be.
Hopefully it helped?