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Timeline for Solving $3x\equiv 4\pmod 7$

Current License: CC BY-SA 3.0

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Dec 8, 2014 at 1:56 vote accept Tehmas
Dec 7, 2014 at 20:26 comment added Fmonkey2001 Don't forget to choose my answer as the answer you liked! :D I'd appreciate it!
Dec 7, 2014 at 14:43 comment added Tehmas Thanks Fmonkey2001. :) Your method is truly simpler and thanks for replying to other questions as well.
Dec 7, 2014 at 13:48 comment added Fmonkey2001 It wasn't useless, it was just a different method to solving the same problem. You'd get the same answer if you did it your way. Just like @N. F. Taussig did you could always substitute the answer of $6$ back into the original equation to see that $x=6 \rightarrow 18\equiv4\pmod{7}$
Dec 7, 2014 at 13:39 comment added Tehmas Ahan. But you didn't even use the inverse(-2). Was it a useless step? @_@
Dec 7, 2014 at 13:36 comment added Fmonkey2001 yes you can always add multiples of $7$ (in this particular example) since $7\equiv0\pmod{7}$ so what you're doing is really just adding $0$ to the equation. More generally $a\equiv0\pmod{a}$ (just to make sure I don't confuse you and make you add $7$ to all mod equations lol
Dec 7, 2014 at 13:32 comment added Tehmas thanks for replying. Your answer is a lot simpler. Will this subtracting/adding always work out the problem?
Dec 7, 2014 at 13:21 history answered Fmonkey2001 CC BY-SA 3.0