Re: How to feed a list of xy pairs into Solve to output xyz triplets

• To: mathgroup at smc.vnet.net
• Subject: [mg101184] Re: How to feed a list of xy pairs into Solve to output xyz triplets
• From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
• Date: Fri, 26 Jun 2009 06:49:56 -0400 (EDT)
• Organization: Uni Leipzig

```Hi,

res = Function @@ {{x, y}, z /. Solve[6*x + 4*y + z == 1, z][[1]]};

list = {{1, 2}, {3, 1}, {5, 4}, {6, 3}, {2, 5}};

and

res @@@ list

Regards
Jens

Bill wrote:
> Hi:
>
> Let's say that I have a list of xy coordinate pairs:
>
> list= {{1,2}},{3,1},{5,4},{6,3},{2,5}}.
>
> Now I'd like to find xyz triplets using Solve for the equation 6*x + 4*y + z = 1.  >
> xyz results:  {{1,2,-13}},{3,1,-21},{5,4,-45},{6,3,-47},{2,5,-31}}. (I used Solve 5 times.)
>
>
> Question: How do I code that into Mathematica for a "one shot output?" (Use Solve once.)
>
>
>
> Thanks,
>
> Bill
>
>
> Mathematica 6.0.1 using Win XP on a pc.
>

```

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