Solve the System of Equations with Variables: ax - by = 0 and ay - bx = (a^2 - b^2)/(ab)

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Solve the System of Equations with Variables: ax - by = 0 and ay - bx = (a^2 - b^2)/(ab)

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Writing a as a^2/a was the clever part of problem imo. Thanks for that

cips
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Really enjoyed your differential equations course! Just brushed up on Diffy Q because I’m starting Partial Differential Equations in the fall for my second major in Math!

pedrorodriguez
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yes useful. if we have a =1 and b = 2 we know where the lines are .how to know were the lines 1/a and 1/b intersect graphically.thanks.your books selection are wonderful . i want to learn alegbra geometry trig calculus in my retirement soon.i will start with your books to refresh. i have done some algebra in school. Still i think you should devote some of your videos trying to prove the Fermat's last theorem even if you are making mistakes and trying to see the problem from a different perspective. may be there is a different method of proof than Gilles for the FLT. like wise, take up Rieemans hypothesis and even if you make mistakes it will lead to new areas undiscovered if you got it correct.just a way of thinking.
you have given me more problems for my retirement!thanks.

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