discussion topic: Alegebra Puzzle

This is not possible. Something should be wrong somewhere which I am not able to figure out

This isn't what I want.

it is we should not divide the equation by (x-y). in step 4 since x-y=0
we could divide only by a nonzero value.
so we got an absurd result 2=1.
hope u satisfied with this answer.

heracles is wrong..

he says: (x-y) can be cancelled out only wen they r variables.

i say:

1. (x-y) can be cancelled out only wen (x-y) is a const except wen (x-y)=0 coz      cancelling zero is not accepted. At the beginning, it is taken tht x=y, which means for all values of x and y, (x-y) =0.

2. In expressions like x=xy, we shud not cancel x as it is a variable.

3. In exp like (x+y)(x-y)=(x-y)y, to cancel (x-y), not even one of x or y shud be a variable.

if x=y,then x-y=0,then how can we divide anything by 0 ? (which results infinity)... if this step is wrong then , theres no question arises in viewing the other steps ....
Enjoy !!!                                   

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