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Question: solving systems of equations

Question:solving systems of equations

GYerram14 15 Maple , MaplePrimes
solve
January 28 2015
1

I'm given the following two equations:

x^3-4x=y, y^3-4y=x

to solve the system, I've just used

eqns:={x^3-4x=y,y^3-4y=x};

vars:={x,y};

solns:=solve(eqns,vars);

and have obtained only four solutions when I should instead get 9. Is there a mistake in my approach?
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