G es to prove that if a, b, and c are integers, where a ≠ 0 and c ≠ 0, such that ac | bc, then a |
b.

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11-06-2018
Mathematics

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G es to prove that if a, b, and c are integers, where a ≠ 0 and c ≠ 0, such that ac | bc, then a |
b.

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LammettHash LammettHash · Answer 1 · 2018-06-11T17:25:40+02:00

LammettHash LammettHash

11-06-2018

[tex]ac\mid bc[/tex] means there exists an integer [tex]n[/tex] such that [tex]ac=bcn[/tex]. We can divide both sides by [tex]c[/tex] because [tex]c\neq0[/tex]. This implies [tex]a=bn[/tex] for some integer, which is identically [tex]a\mid b[/tex].

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G es to prove that if a, b, and c are integers, where a ≠ 0 and c ≠ 0, such that ac | bc, then a | b.

Respuesta :

Otras preguntas

G es to prove that if a, b, and c are integers, where a ≠ 0 and c ≠ 0, such that ac | bc, then a |
b.