Solve the congruence: 6x equiv 4 (mod 10)

Dillard

Dillard

Answered question

2020-11-09

Solve the congruence: 6x4(mod 10)

Answer & Explanation

casincal

casincal

Skilled2020-11-10Added 82 answers

Step 1
The congruence could be written as,
3x2(mod 5)
3x=2+5k
Step 2
Solve by try and error method
For x=1, 3(1)=3
3(mod 5)
For x=2, 3(2)=6
61 mod(5)
For x=3, 3(3)=9
94 mod (5)
For x=4, 3(4)=12
122 mod (5)
So, for x=4, the congruence occurs.
Step 3
Answer: x4mod(5)

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