preprekomW
2021-04-19
Answered

To determine: The smallest nonnegative integer x that satisfies the given system of congruences.

$x\equiv 6\pm od8$

$x\equiv 17\pm od\left\{25\right\}$

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hajavaF

Answered 2021-04-21
Author has **90** answers

We see that the solution x is unique modulo 25.8=200.

Now, 25(1)-8(3)=1.

Thus,

x=6.25(1)-17.8(3)

x=150-408

x=-258

Therefore, x=142.

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