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June 10th, 2018, 12:27 AM  #1 
Newbie Joined: Jun 2018 From: Bulgaria Posts: 2 Thanks: 0  System of equations
Here is the system: xyAxBx=0 xyy15x=0 The task is to find A and B. Is it possible? 
June 10th, 2018, 02:06 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,472 Thanks: 2039 
Did you type the first equation correctly? It currently has x as a factor of every term.

June 10th, 2018, 09:16 PM  #3 
Newbie Joined: Jun 2018 From: Bulgaria Posts: 2 Thanks: 0 
Sorry, my typing mistake. First equation is xyAyBx=0 Last edited by skipjack; June 11th, 2018 at 06:36 AM. 
June 10th, 2018, 09:25 PM  #4 
Senior Member Joined: Aug 2012 Posts: 2,259 Thanks: 686 
Subtracting the second from the first gives (A1)y  (B15)x = 0 and you can solve x for y or y for x in terms of A and B, or A and B for each other in terms of x and y, depending on what's variable and what's constant. But there's no unique solution without additional constraints. You can see that the xy term is a red herring here, right?
Last edited by skipjack; June 11th, 2018 at 06:43 AM. 
June 11th, 2018, 06:47 AM  #5 
Global Moderator Joined: Dec 2006 Posts: 20,472 Thanks: 2039 
If the equations have to hold for any values of x and y, it follows that A = 1 and B = 15.


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