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# Find the least positive integer x that satisfies x+4609 == 2104 mod(12).

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Find the least positive integer x that satisfies x+4609 == 2104 mod(12).

Aug 2, 2018

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Find the least positive integer x that satisfies x+4609 == 2104 mod(12).

$$\begin{array}{|rcll|} \hline x+4609 &\equiv& 2104 \pmod{12} \quad & | \quad 4609 \equiv 1 \pmod{12} \quad 2104 \equiv 4 \pmod{12} \\ x+1 &\equiv& 4 \pmod{12} \quad & | \quad -1 \\ \mathbf{x} & \mathbf{\equiv} & \mathbf{3 \pmod{12}} \\ \hline \end{array}$$

Aug 3, 2018