- #1

silvermane

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**1. The problem statement:**

Let R be a commutative ring, and suppose b is a zero divisor in R. Let c e any element in R. Prove that the equation bx = c can never have a single solution in R.

(meaning that if it has a solution, it will have more than 1)

**3. My attempt at a proof:**

Well, I'm stuck as to the interpretation, and where to even begin for that matter. If you have any hints/tips that could get me started, that would be great. I don't want an answer, just a little scaffolding to get me there.

Any input is greatly appreciated. It means a lot when people help