Q5: Prove that: If $a equiv b pmod{n}$ and $c > 0$, then $ca equiv cb pmod{cn}$.
Added by Mario R.
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Now, we want to show that ca ≡ cb (mod cn). To do this, we need to show that cn divides (ca - cb). Let's multiply both sides of the equation a - b = nk by c: c(a - b) = c(nk) Now, we have: ca - cb = cnk This shows that cn divides (ca - cb), since cnk is a Show more…
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