1. Given that 3617 × 4115 - 822 × 18107 = 1, solve the equation 3617x = 271 (mod 18107) 2. Define ~on Z by ab if and only if 3a + 4b = 0(mod 7). Is an equivalence relation? If is an equivalence relation, find 0.

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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discrete Math.Hello this is the 2nd time I am posting this cause last time didn't understand anything.Could u pls solve on paper both questions.It will be great , Thank you.

1. Given that 3617 × 4115 - 822 × 18107 = 1, solve the equation 3617x = 271 (mod 18107)
2. Define ~on Z by ab if and only if 3a + 4b = 0(mod 7). Is an equivalence relation?
If is an equivalence relation, find 0.
Transcribed Image Text:1. Given that 3617 × 4115 - 822 × 18107 = 1, solve the equation 3617x = 271 (mod 18107) 2. Define ~on Z by ab if and only if 3a + 4b = 0(mod 7). Is an equivalence relation? If is an equivalence relation, find 0.
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