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Re: Diophantic Equations with Constraints

• To: mathgroup at smc.vnet.net
• Subject: [mg49465] Re: [mg49443] Diophantic Equations with Constraints
• From: DrBob <drbob at bigfoot.com>
• Date: Wed, 21 Jul 2004 06:39:28 -0400 (EDT)
• References: <200407201153.HAA23709@smc.vnet.net>
• Reply-to: drbob at bigfoot.com
• Sender: owner-wri-mathgroup at wolfram.com

Unfortunately, that example has no solution:

Reduce[{3*x + 2*y - z == 148,
    3 <= x <= 8, 0 <= y <= 12,
    1 <= z <= 9}, {x, y, z}]
False

FindInstance[
   {3*x + 2*y - z == 148,
    3 <= x <= 8, 0 <= y <= 12,
    1 <= z <= 9}, {x, y, z}]
{}

But this one does:

FindInstance[{3*x + 2*y - z == 148,
    3 <= x <= 80, 0 <= y <= 12, 1 <= z <= 9}, {x, y, z}]
{{x -> 133/3, y -> 12, z -> 9}}

Bobby

On Tue, 20 Jul 2004 07:53:38 -0400 (EDT), Michael S. <MikeSuesserott at t-online.de> wrote:

> 3x + 2y - z == 148



-- 
DrBob at bigfoot.com
www.eclecticdreams.net

• References:
  • Diophantic Equations with Constraints
    • From: "Michael S." <MikeSuesserott@t-online.de>