linear congruence: complete soln: 4x(is equivalent to) 5(mod 21) @Mathematics

7 years agowhen I did the EEA I got 4(-5) + 21(1) = 1

7 years agobut then you have to mult by 5

7 years agothen x=xnot+bn/d

7 years agowhen I multiplied by 5 I got 4(-25) + 21(5) = 5

7 years agoo ya then xnot is -25

7 years agox=-25+21n

7 years agoyour way of writing things is different then how I did it

7 years agoyou have to find all solutions

7 years agoyeah I got x is congruent to 17 (mod 21)

7 years agok so where do i go from here

7 years agofrom the EEA you just convert it back into congruent form I think

7 years agoso x is congruent to -25 is congruent to what

7 years agoso 4(-25) congruent to 5 (mod 21) so x congruent to -25 (mod 21/1) is the complete solution and that is equivalent to x congruent to 17 (mod21/1

7 years agosince (-25) is some solution for x

7 years agothen you just put it into the Linear Congruence Theorem, V1

7 years agoto get the complete solution

7 years agoo crap ok now i see it

7 years agoI don't know this stuff super well either lol

7 years agodid you show eea?

7 years agoyeah I put it in there

7 years agobut theres no room

7 years agothe EEA for those were really short so I just wrote it in there tiny

7 years agohave you done any other problems on the assignment? I'm stuck on 5c lol

7 years agoonly up to 3

7 years agook well I guess I might try asking on here again then

7 years agometoo

7 years ago4x(is equivalent to) 5(mod 21) 21 | 4x-5 21|4*(-4)-5 Hence -4 is a solution. ??? I am not sure.

7 years agoi dunno

7 years ago