Find all integers x that satisfy the following system of congruences:

Find all integers x that satisfy the following system of congruences:

9x≡1(mod 20) ; 52x≡2 (mod 209) ; 8x≡(mod 21)

need elaborate and quick answers please

Re: Find all integers x that satisfy the following system of congruences:

Hello, virebbala90!

There is an omission . . .

Quote:

Find all integers that satisfy the following system of congruences:

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Re: Find all integers x that satisfy the following system of congruences:

First, find the prime factorization for each: Then, consider mod 4 and mod 5 (this will allow you to easily calculate mod 4 and mod 5). Then consider mod 11 and mod 19 to calculate mod 11 and mod 19. Finally, consider mod 3 and mod 7 to calculate mod 3 and mod 7. Once you know mod 4, 5, 11, 19, 3, and 7, use the Chinese Remainder Theorem to find mod .