Let a, b, and c be integers with a 0. Prove that if a | b and a | (b + c), then a | c.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 29E
icon
Related questions
Question
Let a, b, and c be integers with a 0. Prove that if a | b and a | (b + c), then
a | c.
Transcribed Image Text:Let a, b, and c be integers with a 0. Prove that if a | b and a | (b + c), then a | c.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer