Eliminate some variable from two equations

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Homework Help Overview

The discussion revolves around eliminating a variable, T, from two equations involving variables a, X, and Y. The equations presented are (1) a = (X-T)/X and (2) a = 4T/Y.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants explore the possibility of solving one equation for T and substituting it into the other. There is a suggestion to manipulate the second equation for T, followed by a question regarding the resulting expression.

Discussion Status

The discussion includes attempts to manipulate the equations and check the feasibility of solving the system. One participant raises a concern about the number of variables compared to the equations, indicating a potential limitation in finding a unique solution.

Contextual Notes

There is an acknowledgment of the presence of three variables and only two equations, which may complicate the elimination process. One participant expresses uncertainty about their understanding, indicating a need for clarification.

danni7070
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How can I eliminate T from these equations

(1) a = (X-T)/X
(2) a = 4T/Y
 
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Here's a kind of obvious thought: solve the second equation for T (it's much easier to solve for t than the first). Replace the T in the first equation with that expression.
 
So it would be a = 4(X-aX)/Y ?
 
If those are all free variables, you won't be able to solve the system as you have 3 variables and only 2 equations.

and yes, it would be so.

-----------------------------------------------------
Correct me if I am wrong.
http://ghazi.bousselmi.googlepages.com/présentation2[/QUOTE]
 
Thanks for the help! I'm very rusty :)
 

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