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seen Mar 7 at 19:58

Sep
27
awarded  Commentator
Sep
12
awarded  Student
Sep
12
awarded  Scholar
Sep
12
accepted How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
@Rob: so 14 it is! thanks!
Sep
12
awarded  Supporter
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
@Rob, last question, is x=14 the ONLY solution, or is 14 the total number of solutions to 6x = 14 mod 35 in Z/35Z?
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
so then there would 34 solutions to this problem? since all those numbers mod 35 is 14!?
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
@Rob: if x 34, then 6x = 204, how is 204 = 14 % 35? since 14%35 is 14?! sorry, im very confused.
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
so the solution to Z/35Z should be {14+35n | n ∈ Z35}? from what i remember from class, Z/35Z = {0..34}, so i should only compute this up to n = 34?
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
"14,14+35,14+2⋅35…" how high does this go? up to 14+35*35?<br/><br/> so 14 is a possible answer, since 14*6=84, 84%35 = 14 = 14%35!? <br>14+35= 49, 49%35 = 14 also... so from this, the possible solutions are (14,49,84,119,154,189,224,259,294,329,364,399,434,469,504,539,574,609,644,679,71‌​4,749,784,819,854,889,924,959,994,1029,1064,1099,1134,1169) i wrote a python code to run up to 35.. do i go over 35 or it should be {0..34} since it is Z/35Z?
Sep
12
comment How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
correct me if im wrong, so we have that 14mod35 = 14, and 84 is a solution because 84%35 = 14? how do i find other solutions to this problem? i edited the question. please take a look. thank you! <br/><br/> since 14%35 = 14 in Z35, then wouldnt there be an infinite number of solutions? since there tons of numbers that mod 35 is 14?!
Sep
12
awarded  Editor
Sep
12
revised How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
edited title
Sep
12
revised How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?
edited tags
Sep
12
asked How many solutions does equation $6x=14 \bmod 35$ in $\mathbb{Z}/35\mathbb{Z}$ have?