3 = 11 ......I love Math

I have always said I love Math because you can get numbers to "do what you want"  eventually, if you keep at it. The following is supposedly an example of that. However i am too far past that type of math to even remember if this is true, tho it looks to be. you can change the number to suit your needs.


Write 'Given a=b' on a new line.

Perform the following mathematical operations:

3a = 3b     (multiplying both sides by the real number)
11a = 11b     (multiplying both sides by the "real" number)
3a2 = 3ab     (multiplying by a on both sides)
11ab = 11b2     (multiplying by b on both sides)
3a2 - 11ab = 3ab - 11b2     (subtracting the above two equations to make one)
3a2 - 3ab = 11ab - 11b2     (subtracting 3ab and adding 11ab to both sides)
3a2 - 3ab + ab - b2 = 12ab - 12b2     (adding ab and subtracting b2 from both sides)
3a(a-b) + b(a-b) = 12b(a-b)     (factoring out common terms)
3a + b = 12b     (removing common terms)
3a = 11b     (subtracting b from both sides)
3b = 11b     (substituting a for b, remembering that they are equal)
3 = 11     (removing common terms)
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Thank you Wiki-how