The goal is to find an integer $m$ and a linear equation in $\mod m$ such that there are three solutions. My thought is that I would want $m = 3$, but I don't know where to go from here. Tips or an example with a different number of solutions would be appreciated.
2026-03-28 22:25:52.1774736752
Finding a Linear Equation With n solutions.
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$$0x=0\mod 3,$$
solve for $x$.
If you want something a little more "non-trivial", you could write:
$$4x=7x\mod 3.$$