Solving Large Equations with wxMaxima - What is up with %r1?

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The discussion revolves around using wxMaxima to solve a set of equations with large coefficients, where the user encounters the output %r1 in the results. This notation typically indicates that the system has infinitely many solutions, with %r1 representing a free parameter. The user expresses some confidence in specific outputs but seeks clarification on the meaning of %r1. Additionally, there is a request for recommendations on free software that can handle solving multiple equations with large numbers. The conversation highlights the importance of understanding wxMaxima's output for effective problem-solving.
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I have a set of several equations -

The coefficients are rather large.

I thought I would be smart and not go through all the mess of solving them by hand

I have used wxMaxima some and carefully entered each equation into wxMaxima - using its Solve function

I'm getting:

[[X1=-230942730/(%r1-23900000),
X2=112626/3125,
Tx1=%r1,
Tx2=333975528125/18771]]

what is up with the %r1?

For what it's worth the Tx2 - I feel pretty good about that number it seems about what I would expect, X2 - I could believe that number - not too bad from my gut feel.

anybody here use wxMaxima and know about this?

OR

Can anybody suggest a "free" software package that could solve ~ 7 equations 7 unknows with large numbers?

-Sparky
 
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algsys([2*x+y=10, 3*x+2*y=17], [x,y]);
Solves 2x+y=10 and 3x+2y=17 for x=3 and y=4.

If your equations are linear, you can use linsolve in place of algsys, for a slight speed increase.

Could you post the command you tried?
 
I used "Solve" in wxMaxima.
 
Post it with the arguments you used. Otherwise, I can't tell why it output %r1.
 
Last edited:
Sparky_ said:
I have a set of several equations -

The coefficients are rather large.

I thought I would be smart and not go through all the mess of solving them by hand

I have used wxMaxima some and carefully entered each equation into wxMaxima - using its Solve function

I'm getting:

[[X1=-230942730/(%r1-23900000),
X2=112626/3125,
Tx1=%r1,
Tx2=333975528125/18771]]

what is up with the %r1?

For what it's worth the Tx2 - I feel pretty good about that number it seems about what I would expect, X2 - I could believe that number - not too bad from my gut feel.

anybody here use wxMaxima and know about this?

OR

Can anybody suggest a "free" software package that could solve ~ 7 equations 7 unknows with large numbers?

-Sparky

Usually the %r1 indicates that your system has infinitely many solutions - this is WxMaxima's way of writing them in parametric form: %r1 is the single free parameter.
 
Good morning I have been refreshing my memory about Leibniz differentiation of integrals and found some useful videos from digital-university.org on YouTube. Although the audio quality is poor and the speaker proceeds a bit slowly, the explanations and processes are clear. However, it seems that one video in the Leibniz rule series is missing. While the videos are still present on YouTube, the referring website no longer exists but is preserved on the internet archive...

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