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

EunoR
2021-02-18
Answered

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

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Derrick

Answered 2021-02-20
Author has **94** answers

We see that the solution x is unique modulo 7.5=35

Now, 5(10)-7(7)=1.

Thus,

x=4.5(10)-3.7(7)

x=200-147

x=53

Therefore, x = 18.

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