# 1=2?

Algebra Level 2

I can prove 1 = 2

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

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