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MathGroup Archive 2013

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Solve without vars

  • To: mathgroup at smc.vnet.net
  • Subject: [mg130347] Solve without vars
  • From: juchheissassa at gmail.com
  • Date: Wed, 3 Apr 2013 22:53:18 -0400 (EDT)
  • Delivered-to: l-mathgroup@mail-archive0.wolfram.com
  • Delivered-to: l-mathgroup@wolfram.com
  • Delivered-to: mathgroup-newout@smc.vnet.net
  • Delivered-to: mathgroup-newsend@smc.vnet.net

I happened to hit on the following curious thing:

If I use Solve with {} instead of vars, I actually get a solution.

Is this documented anywhere? What are the rules?

e.g.:

Solve[a x + y == 7 && b x - y == 1, {}] yields {{y -> 7 - a x, b -> (8 - a x)/x}}

while

Solve[a x + y == 7 && b x - y == 1, {x,y}] yields {{x -> 8/(a + b), y -> -((a - 7 b)/(a + b))}}



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