how to solve for this equation in $\mathbb{Z}$12
$$ [8][x]+[3][y] = [9]\\ [6][x]+[5][y]=[2] $$
2026-04-02 03:21:09.1775100069
How to solve this congruence class equation?
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Hint: if it had a solution mod $12$ then the solution persists mod $2,\,$ where it is inconsistent.