Find the Mistake: 2=1 Proof

Random Just For Fun or Logic Quiz

Can you name the mistake in this proof that 2=1?

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ProofWhere is it?Explanation
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1. x=y≠0Given
2. x^2=xyMultiply by x
3. x^2-y^2=xy-y^2Subtract y^2
4. (x+y)(x-y)=y(x-y)Factoring
5. x+y=yDividing by x-y
6. y+y=ySubstitution: x=y
7. 2y=yCombining like terms
8. 2=1Dividing by y, knowing y≠0
Is there any mistake in the proof?(Fills in upon completion of the quiz)

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Created Apr 7, 2013Curator's PickReportNominate
Tags:April Fools', Logic, math, Numbers, broken, equal, one, three, two, weird