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

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    Algebra
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Discussion Overview

The discussion revolves around manipulating the algebraic equation Y/Q = P + P/Q. Participants explore different approaches to rearranging the equation and seek clarification on the correct method to isolate variables.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that dividing both sides of Y = (P)(Q) + (P) by Q results in Y/Q = P + P.
  • Another participant agrees with the second interpretation of the equation, indicating a preference for Y/Q = P + P/Q.
  • Several participants inquire about methods to rearrange the equation to isolate Y and Q on the left side without leaving any Q on the right, proposing factoring out P and dividing by Q.
  • A later reply confirms the approach of factoring out P and dividing by Q + 1, while another participant acknowledges a misunderstanding regarding the notation.

Areas of Agreement / Disagreement

Participants express differing views on the correct manipulation of the equation, with no consensus reached on the best approach to isolate Y and Q.

Contextual Notes

Some participants express uncertainty about their understanding of basic algebraic manipulation, and there are references to potential confusion regarding notation and assumptions in the equations discussed.

ssb
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In algebra can you take this:


[tex]Y = (P)(Q) + (P)[/tex]

divide both sides by Q and obtain:

[tex]Y/Q = P + P[/tex]

or if you divided by Q would you get:

[tex]Y/Q = P + P/Q[/tex]
 
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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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