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Question Number 140428 by byaw last updated on 07/May/21

If 4x=3(Mod 6), find the  first four values of x.

If4x=3(Mod6),findthefirstfourvaluesofx.

Commented by mr W last updated on 07/May/21

4x is even.  but when it is divided by 6 and the  remainder is 3, it means 4x must be  odd. a number can not be even and odd  at same time. therefore there is no  solution, i.e. the question is wrong.

4xiseven.butwhenitisdividedby6andtheremainderis3,itmeans4xmustbeodd.anumbercannotbeevenandoddatsametime.thereforethereisnosolution,i.e.thequestioniswrong.

Answered by JDamian last updated on 07/May/21

4x=6q+3    As the left side (4x) is even, the rigth one  should be too... but   6q+3    is odd...

4x=6q+3Astheleftside(4x)iseven,therigthoneshouldbetoo...but6q+3isodd...

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