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Forum URL: http://www.cut-the-knot.org/cgi-bin/dcforum/forumctk.cgi
Forum Name: High school
Topic ID: 147
Message ID: 4
#4, RE: Solving simultaneous equations
Posted by bssim on Mar-26-02 at 09:20 AM
In response to message #3

>>The equations are used to solve a puzzle posted at
>>
>>http://www.mathcad.com/library/Library content/puzzle.asp?num=15
>
>The link is mistyped. You can always use the Preview feature
>first to check the appearance and functionality of your
>post. You can also Edit your message within 1 hour after
>posting it.

I'm sorry for the mistake.

>This is what I would expect of a set of quadratic equations.
>At the bottom of the page you point to
>
>http://www.mathcad.com/library/LibraryContent/puzzle.asp?num=15
>
>there is a nice remark by Andras Horvath, which simplifies
>the solution greatly. It always makes sense to use problem
>specifics.
>
>>I then concluded that it was impossible to solve the
>>equations.
>
>Why? Andras Horvath clearly solves the system in a very
>elegant manner.

I love Andras Horvath's solution. And I'm aware of the fact that there are other solutions to the puzzle. In fact, I've come up with one myself using a different approach. I wish I could view all the 7 solutions mentioned in the Mathcad website. However, I am unable to download and read those solutions in Mathcad format.

What I am now interested in is: how can the set of simultaneous equations be solved, if one is given only the equations, and that they are not linked to any specific problems.

Thank you for your comment.