Eliminate some variable from two equations

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To eliminate T from the equations a = (X-T)/X and a = 4T/Y, one can solve the second equation for T, yielding T = (aY)/4. Substituting this expression for T into the first equation results in a = (X - (aY)/4)/X. However, with three variables (a, X, Y) and only two equations, the system cannot be fully solved without additional information. The discussion highlights the challenge of solving for multiple variables with limited equations. Overall, the method of substitution is suggested but ultimately leads to an unsolvable system.
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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.

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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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