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Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.

Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.
Transcribed Image Text:Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.
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