I'm not sure how to find the congruence class solutions of linear equations or systems of linear equations.
For example, how would you solve $3x + 4y \equiv 4\pmod 6$?
2025-01-13 02:24:12.1736735052
Congruence class solutions of linear equations
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$3x+4y=6k+4\implies 2|3x\implies 2|x,x=2x_0$
$6x_0+4y=6k+4\implies 6|(4y-4)\implies y\equiv1,4\pmod{6}$