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\begin{align*} 5x & \equiv 1 \pmod{1303} \\ 5x & \equiv 10 \pmod{30} \end{align*} Can you post a step by step solution? I am reviewing for my finals.

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    I would have thought there would be lots of tutorials on simultaneous linear congruences already....2012-11-29
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    Found one http://math.stackexchange.com/questions/79282/solving-simultaneous-congruences?rq=12012-11-29

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