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Solve a pair of congruences
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Question in Content created by Newcastle University by Newcastle University Mathematics and Statistics

Solving a pair of congruences of the form \[\begin{align}x &\equiv b_1\;\textrm{mod} \;n_1\\x &\equiv b_2\;\textrm{mod}\;n_2 \end{align}\] where $n_1,\;n_2$ are coprime.

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