UkusakazaL

2021-04-17

To find: A positive for the congruence $210x=8\left(b\text{mod}13\right)$.

Nathalie Redfern

Given information:
$210×7=1\left(b\text{mod}13\right)$
Concept used:
$ab\text{mod}b$ =Remainder, when a is divided by b.
Calculation:
$210\cdot 7=1\left(b\text{mod}13\right)$
Multiplying both sides by 8.
$⇒210.56=8\left(b\text{mod}13\right)$
Compare with $210x=8\left(b\text{mod}13\right)$
Now x=56
Conclusion:
x=56

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