<p>actually in that equation you have a+b=b so, it is a=0 which means b=0 which proves nothing. Interesting idea though. Try showing that to your average person. LOL.</p>
<p>It's an old math trick, nothing that I made up.</p>
<p>As HiWei said, the mathematical no<em>can</em>do was in dividing both sides by (a-b), which is 0. The apparent 'fact' that a+b then equals b has nothing to do with the numerical value of a; you could have done the entire thing substituting (for example) '7' wherever you saw 'a' or 'b'.</p>
<p>Still, it's a great exercise in logic to present to the average person, esp. someone whom you want to drive nuts... :)</p>