Question

Find all, if any, solutions to the system:
x ≡ 5 (mod 5)

x ≡ 3 (mod 7)

x ≡ 8 (mod 11)

x ≡ 2 (mod 17)

need help with discrete math HW, please write solutions clearly, and please don't just answer wrong solution, cus then i will need to post the same question twice. i appreciate every help i can get but please let someone else help me solve the question if you're not sure about any part to avoid reposting. thanks, will rate best answer.

Answer 1

(5 mod 5 is same as 0 mod 5)

So that

And

Meaning

And we have

and

So the solution is

Which is

Verifying:

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