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June 13th, 2018, 07:08 AM  #1 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 602 Thanks: 82  Solve This Equation For xy
3x^2 + xy = 2y^2 Can you solve for xy? 
June 13th, 2018, 08:37 AM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,814 Thanks: 1046 Math Focus: Elementary mathematics and beyond 
Hi EvanJ. $$3x^2 + xy = 2y^2$$ $$3x^2+xy2y^2=0$$ $$(3x2y)(x+y)=0\implies 3x=2y,x=y$$ $$3x^2=2xy$$ $$xy=y^2$$ Now sub into the original equation and take it from there. 
June 13th, 2018, 09:25 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 12,591 Thanks: 842 
Using quadratic: solve for x : x = y or x = 2y/3 solve for y : y = x or y = 3x/2 Just trying to cause confusion 
June 13th, 2018, 03:48 PM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,313 Thanks: 2447 Math Focus: Mainly analysis and algebra  

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