June 13th, 2017, 10:30 AM  #1 
Newbie Joined: Jun 2017 From: Warsaw, Poland Posts: 1 Thanks: 0  Modular equation
Could you help me solve modular equations? a)6x = 12 mod21 b)643x=1 mod2000 
June 13th, 2017, 12:13 PM  #2 
Math Team Joined: Jul 2013 From: काठमाडौं, नेपाल Posts: 876 Thanks: 60 Math Focus: सामान्य गणित 
for b>a, a mod b = a x = 2 x = 1/643 
June 13th, 2017, 07:35 PM  #3 
Senior Member Joined: Apr 2015 From: Barto PA Posts: 170 Thanks: 18 
a) x = 7k + 2; k = 0, 1, 2, 3 ... integer b) I don't see an integer solution 
June 13th, 2017, 07:38 PM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,788 Thanks: 1037 Math Focus: Elementary mathematics and beyond 
2. x = 507 + 2000a, a $\in$ Z.


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