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

$x\equiv 1003\pm od\{17,369\}$

$x\equiv 2974\pm od\left\{5472\right\}$

Isa Trevino
2021-03-25
Answered

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

$x\equiv 1003\pm od\{17,369\}$

$x\equiv 2974\pm od\left\{5472\right\}$

You can still ask an expert for help

ottcomn

Answered 2021-03-27
Author has **97** answers

We see that the solution x is unique modulo 17369.5472=95043168.

Now, 17369(-2647)-5472(8402)=1.

Thus,

x=2974.17369(-2647)-1003.5472(8402)

x=46113671232-136731859682

x=-90618188450

Therefore, x=-52992822.

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