Solve Algebra Equation: Y/Q = P + P/Q

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The discussion revolves around manipulating the algebraic equation Y = (P)(Q) + (P) to isolate Y and Q on one side. Participants clarify that dividing both sides by Q can lead to two interpretations, with the correct approach being Y/Q = P + P. To eliminate Q from the right side, factoring out P and dividing by (Q + 1) is suggested. The conversation highlights the importance of careful attention to detail in algebraic manipulation. Overall, the thread serves as a reminder of fundamental algebra techniques.
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In algebra can you take this:


Y = (P)(Q) + (P)

divide both sides by Q and obtain:

Y/Q = P + P

or if you divided by Q would you get:

Y/Q = P + P/Q
 
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The second one.
 
neutrino said:
The second one.

Thankyou vm

So what is a trick to get the Y and the Q on the left side without leaving any Q on the right?
Factor out the P's and then divide by q?
 
Last edited:
ssb said:
Thankyou vm

So what is a trick to get the Y and the Q on the left side without leaving any Q on the right?
Factor out the P's and then divide by q?

Yup, that's correct (if you're talking about the first equation, that is)
 
cristo said:
Yup, that's correct (if you're talking about the first equation, that is)

Thankyou. It seems I've forgotten all of this basic stuff so you will prob. see me posting some more of it soon!

Thanks again
 
ssb said:
Thankyou vm

So what is a trick to get the Y and the Q on the left side without leaving any Q on the right?
Factor out the P's and then divide by q?

Given y = pq + p, you factor out the p and divide both sides by q+1.
 
neutrino said:
Given y = pq + p, you factor out the p and divide both sides by q+1.

Thanks for the correction-- in my head I took that as reading q+1 and assumed it was correct. Sorry, I should pay more attention :biggrin:
 

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