Prove that if a -= b(mod n) and c -= d(mod n), then if a-c -= b-d(mod n)
glasskerfu
Answered question
2021-02-24
Answer & Explanation
Ayesha Gomez
Skilled2021-02-25Added 104 answers
The concept of congruence states that there are integers s and t that are
a-b = sn...(1)
and
c-d=tn...(2)
(1)-(2)
(a-b)-(c-d)=sn-tn
(a-b)-(c-d)=n(s-t)
Both s and t are integers so s−t is also integer
put s−t=u
(a-b)-(c-d)=nu
By defination of Congruence
Hence Proved,
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