1=2?

Algebra Level 2

I can prove 1 = 2

Step1 \boxed{\text{Step1}} Lets say y = x
Step2 \boxed{\text{Step2}} . Multiply by x xy = x 2 x^2
Step3 \boxed{\text{Step3}} Subtract y 2 y^2 from each side xy - y 2 y^2 = x 2 x^2 - y 2 y^2
Step4 \boxed{\text{Step4}} Factorize each side y(x-y) = (x+y)(x-y)
Step5 \boxed{\text{Step5}} Divide both sides by (x-y) y = x+y
Step6 \boxed{\text{Step6}} Since x = y y = y + y
Step7 \boxed{\text{Step7}} And so... y = 2y
Step8 \boxed{\text{Step8}} Divide both the sides by y 1 = 2 \boxed{\text{1 = 2}}
Which step is wrong?

5 4 8 2 3 None of the steps 6

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1 solution

Abhyudaya Apoorva
Dec 30, 2016

Since x = y
x - y = 0 \boxed{\text{x - y = 0}}
In Step 5 we have divided x-y by x-y, that is equal to 0 0 \frac{0}{0} which is not defined
Hence Step 5 is incorrect.

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