nwessel nwessel

15-03-2017
Mathematics

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Show that if a ≡ b (mod n) and c is a positive integer, then ca ≡ cb (mod cn)

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LammettHash LammettHash

15-03-2017

[tex]a\equiv b\mod n[/tex] means there is some integer [tex]N[/tex] such that [tex]a=Nn+b[/tex]. Multiplying everything by [tex]c[/tex] gives [tex]ca=cNn+cb=N(cn)+cb[/tex], which is the same as saying [tex]ca\equiv cb\mod cn[/tex].

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