I can prove 1 = 2
Lets say
y = x
. Multiply by x
xy =
Subtract
from each side
xy -
=
-
Factorize each side
y(x-y) = (x+y)(x-y)
Divide both sides by (x-y)
y = x+y
Since x = y
y = y + y
And so...
y = 2y
Divide both the sides by y
Which step is wrong?
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Since x = y
x - y = 0
In Step 5 we have divided x-y by x-y, that is equal to 0 0 which is not defined
Hence Step 5 is incorrect.