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.
 
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