Re: Eliminate

• To: mathgroup at smc.vnet.net
• Subject: [mg116194] Re: Eliminate
• From: "Sjoerd C. de Vries" <sjoerd.c.devries at gmail.com>
• Date: Fri, 4 Feb 2011 01:42:17 -0500 (EST)
• References: <iie02s\$bkk\$1@smc.vnet.net>

```As far as I can see there's no t in these equations.

If you'd like to eleminate b for instance you'd proceed as follows:

Eliminate[{x, y,
z} == {(v + w) (b^2 v^4 - a^2 v^3 w + 3 b^2 v^3 w + c^2 v^3 w -
3 a^2 v^2 w^2 + 3 b^2 v^2 w^2 + 3 c^2 v^2 w^2 - a^2 v w^3 +
b^2 v w^3 + 3 c^2 v w^3 + c^2 w^4), -w (-b^2 v^4 - 2 b^2 v^3 w -
a^2 v w^3 + b^2 v w^3 + c^2 v w^3 + c^2 w^4), -v (b^2 v^4 -
a^2 v^3 w + b^2 v^3 w + c^2 v^3 w - 2 c^2 v w^3 - c^2 w^4)}, b]

Cheers -- Sjoerd

On Feb 3, 11:29 am, Francisco Javier Garc=EDa Capit=E1n
<garciacapi... at gmail.com> wrote:
> Dear friends, how can I eliminate t from the equations
>
> {x,y,z}=={(v + w) (b^2 v^4 - a^2 v^3 w + 3 b^2 v^3 w + c^2 v^3 w - 3 a^2
> v^2 w^2 + 3 b^2 v^2 w^2 + 3 c^2 v^2 w^2 - a^2 v w^3 +
>     b^2 v w^3 + 3 c^2 v w^3 + c^2 w^4),
>  -w (-b^2 v^4 - 2 b^2 v^3 w - a^2 v w^3 + b^2 v w^3 + c^2 v w^3 + c^2 w^4),
> -v (b^2 v^4 - a^2 v^3 w + b^2 v^3 w + c^2 v^3 w - 2 c^2 v w^3 - c^2 w^4)}
>
> Many thanks
>
> --
> ---
> Francisco Javier Garc=EDa Capit=E1nhttp://garciacapitan.auna.com

```

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