Equations system with zero
- To: mathgroup at smc.vnet.net
- Subject: [mg91360] Equations system with zero
- From: Miguel <mibelair at hotmail.com>
- Date: Mon, 18 Aug 2008 03:36:41 -0400 (EDT)
Hi alll,
Let the following equations system for x, y Reals
Solve[{y/(9y)==0/(5x),x^2+3y^2},{x,y}]
{}
Mathematica 6.0.1 yields no solution. But the solutions exist. They
are four solutions
x=0, y=+-Sqrt[1/3]
y=0, x=+-1
Mathematica first simplifying y/(9y) -> 1/9 and it compare with 0/(5x) -
> and yiels False and it stops the process. Is this correct?.
In my opinion, the correct process would be
(5*x*y)==(9*y*0)
5xy=0 ----> x=0 or y=0
and substitution in the second equation.