0.999....=1

[Teeqoz]

JRPGfan said:

Teeqoz said:

No, I'm not dividing by x, I'm subtracting x on both sides.

I could've written

10x=9+x

10x-x=9+x-x

But that's just writing things unnecessarily messy.

Are you allowed to do that? isnt that bad math?

I cant even remember, I just thought you where supposed to divide by x on both sides to get the x out.

But it doesnt matter, you still reach the same 9x = 9.

No, it is the standard procedure for solving equations. Remember, as long as you do the same thing on both sides of the equal sign, then, well, both sides are still equal.

If we were to do it the way you suggest we would get:

10x=9+x

10x/x=9/x+x/x

10=9/x+1

etc.

And you could get the same result, but you'd do a lot of unnecessary shit to get there. Also, how do you remove that 1 on the right side?

(You subtract 1 on both sides, same as I did, except I subtracted x on both sides )