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# Find all numbers r for which the system of congruences

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Find all numbers r for which the system of congruences

\begin{align*} x &\equiv r \pmod{6}, \\ x &\equiv 9 \pmod{20}, \\ x &\equiv 4 \pmod{45} \end{align*}

has a solution.

Sep 6, 2020

### 1+0 Answers

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The numbers r that work are 3 mod 180.

Sep 6, 2020