Math CentralQuandaries & Queries


Question from jamielle, a student:

if ac=bc, then a is not equal to b, c is not equal to zero


I am not sure what you are trying to say.

If $ac = bc$ and $c$ is not zero then you can divide both sides of the equation by $c$ to get $a = b.$ If $c$ is zero then $a$ and $b$ can be any numbers, for example $5 \times 0 = 3 \times 0.$


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