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# Prove: a cannot equal to 0 and a times b=0 then b=0?

Thanks for the help!

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- Anonymous1 decade agoFavorite Answer
a * b = 0

As a is not 0, you can divide the equation by a:

b = 0 / a = 0.

- SnoopyLv 51 decade ago
If a !=0 (!= is not equal), and a*b=0, then b must be 0. Any number times 0 is 0. There is no other number that you can multiply by a that will give you a 0 result.

- Anonymous1 decade ago
If a is not zero then a multiplied by any number except zero will equal a number (ab)

If ab = 0 then b must be zero !

Simply put :

ab = 0

b = 0/a

b = 0

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