So I have this equation:
$$x_1 + x_2 + 20 + 10 + 12 = 384 \pmod{31}$$
Is there any way to calculate $x_1$ and $x_2$ without knowing one of them or is that impossible?
Thanks in advance.
2026-04-25 02:16:42.1777083402
Is it possible to solve this specific modulo equation?
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Note that your equation is equal to $$x_1+x_2+42=384\pmod{31},$$ and then also equal to $$x_1+x_2=342 \pmod{31}.$$ Since $342 = 1 \pmod{31},$ the equation you have to solve is $$\boxed{x_1 + x_2 = 1 \pmod{31}}$$ and that's a very easier one to see clear solutions.