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Question

The solution sets of 8x=6mod14,x, are


A

86

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B

814

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C

613

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D

8613

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Solution

The correct option is C

613


Solve for the given set:

The given equation: 8x=6mod14,x.

8x-6=14kk8x=14k+6x=147k+3

For k=3.

x=1473+3=244=6.

For k=7.

x=1477+3=524=13.

For k=11.

x=14711+3=804=20.

For k=15.

x=14715+3=1084=27.

Thus, the solution set can be given by, x=6,13,20,27......

x=6,20,34,48,....13,27,41,55,....x=613

Therefore, the solution sets of 8x=6mod14,x, are 613.

Hence, the option (C) is correct.


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