How to find the solutions from this equation:
$16X-8\equiv0\pmod{130}$
$GCD(16,130)=2\;$ and $\;2|0\,$.
So there are $2$ principal solutions
$65$ is one of the solutions, but I can’t find the other one.
Asked
Active
Viewed 40 times
0
Angelo
- 12,328
-
1Does the first answer to this question helps? https://math.stackexchange.com/questions/592852/congruence-equation-problem?rq=1 – Alain Remillard Dec 02 '22 at 16:03
-
1All the solutions are $,x=33+65\lambda,$ for any $,\lambda\in\mathbb Z,.;$ The principal solutions are $,33,$ and $,98,.$ – Angelo Dec 02 '22 at 16:12
-
2$65$ is not a solution: $16\times65-8\equiv-8\not\equiv0\bmod130$ – J. W. Tanner Dec 02 '22 at 16:34