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How to get Mathematica to solve for "nonbasic variables"?

• To: mathgroup at smc.vnet.net
• Subject: [mg42359] How to get Mathematica to solve for "nonbasic variables"?
• From: a_cjones at hotmail.com (cdj)
• Date: Wed, 2 Jul 2003 06:36:21 -0400 (EDT)
• Sender: owner-wri-mathgroup at wolfram.com

Hi all,

Intuitively, I'd like to get Mathematica to compute things of the following
sort:

In: Solve[5x==6y,x/y]

Out: {x/y -> 5/6}

Of course Mathematica won't do this - and several obvious variations on this
theme don't seem to work either (e.g., introducing a new variable z =
x/y, and attempting to solve the system for z).

So what's the easiest way to solve (systems of) equations for
nonatomic variables of this sort?

Thanks for any suggestions,

cdj

• Follow-Ups:
  • Re: How to get Mathematica to solve for "nonbasic variables"?
    • From: Murray Eisenberg <murray@math.umass.edu>