
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
April 10th, 2018, 09:27 AM  #1 
Newbie Joined: Apr 2018 From: Algeria Posts: 3 Thanks: 0  ax+by=c equation, and numeric system problem.
We have the equation: (E):5x6y=3 1Solve in Z^2 the equation (I already did, the solution is (x,y)=(6k+3 , 5k+2) (k∈Z)) 2 a and b are natural numbers: a=1α0α00 in the 3base system. b=αβ0α in the 5base system. Find α and β , knowing that (a,b) is a solution to (E) Help please with the last question. 
April 10th, 2018, 10:29 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,974 Thanks: 1850 
(α, β) = (2, 4)

April 10th, 2018, 11:16 AM  #3 
Newbie Joined: Apr 2018 From: Algeria Posts: 3 Thanks: 0  
April 10th, 2018, 11:41 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 19,974 Thanks: 1850 
Trial and error. There are only three possibilities for the value of α, of which only α = 2 leads to a solution.

April 10th, 2018, 11:46 AM  #5 
Newbie Joined: Apr 2018 From: Algeria Posts: 3 Thanks: 0  
April 10th, 2018, 03:53 PM  #6 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 623 Thanks: 85 
What does solving in Z^2 mean?

April 10th, 2018, 05:31 PM  #7 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,915 Thanks: 774 Math Focus: Wibbly wobbly timeywimey stuff.  

Tags 
byc, equation, numeric, problem, system 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
What is the numeric answer to 1/0  AbrahamA  Number Theory  17  November 22nd, 2015 10:27 AM 
numeric entry problem with answer..but I think the answer is  rage  Algebra  2  September 14th, 2012 10:27 PM 
Parametric system of equation problem  Telo  Algebra  3  June 14th, 2012 03:18 AM 
Numeric ID systems  billymac00  Applied Math  2  November 20th, 2009 05:50 PM 
Please help ! 2 Very interesting problem in Numeric Method !  dangkywebntk  Applied Math  2  June 14th, 2007 07:44 AM 