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Question Number 46977 by 23kpratik last updated on 03/Nov/18

$$3x+2\equiv 0\left(mod7\right)$$

Commented by maxmathsup by imad last updated on 03/Nov/18

$$3x+2=7kletconsiderthecongruencemodulo3\Rightarrow \stackrel{.}{3}x+\stackrel{.}{2}=\stackrel{.}{7}k\Rightarrow$$$$-\stackrel{.}{1}=\stackrel{.}{k}\Rightarrow k=3p-1\Rightarrow 3x+2=7(3p-1)\Rightarrow 3x+2=21p-7\Rightarrow$$$$3x=21p-9\Rightarrow x=7p-3.$$

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