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# Algebra/a very elementary algebra problem

Question
Hello,
sorry to bother with such an elementay problem but it looks like I have forgotten everything I learned at school.

T=X+Y
Y=Xa

Assume "a" is a known value.

I want to find X for any given value of T

Thank you very much.

If "a" is know, then since Y = Xa, that can replace the Y in the top equation.
This gives T = X + Xa.  Factoring out the X gives T = X(1+a).
Dividing both sides by (1+a) gives T/(1+a) = X.

This can be rewritten as X = T/(1+a),
since it is customary to put the variable on the left.

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Algebra

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#### Scott A Wilson

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