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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: xy-Ax-Bx=0 xy-y-15x=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: 20,926 Thanks: 2205 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 xy-Ay-Bx=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: 2,355 Thanks: 737 Subtracting the second from the first gives -(A-1)y - (B-15)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: 20,926 Thanks: 2205 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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