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

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In summary, in algebra, if you have the equation Y = (P)(Q) + (P), you can divide both sides by Q to get Y/Q = P + P. Another trick to get Y and Q on the left side without any Q on the right is to factor out the P's and then divide by q. Remember to pay attention to the signs and symbols to avoid mistakes.
  • #1
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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  • #2
The second one.
 
  • #3
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:
  • #4
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)
 
  • #5
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
 
  • #6
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.
 
  • #7
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:
 

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

How do I solve the equation Y/Q = P + P/Q?

To solve this equation, we need to isolate the variable on one side of the equal sign. We can do this by first multiplying both sides by Q to get rid of the denominator on the left side. This gives us Y = P*Q + P. Then, we can simplify further by factoring out a P from the right side, giving us Y = P*(Q+1). Finally, we can solve for P by dividing both sides by (Q+1). The final solution is P = Y/(Q+1).

Can I solve this equation if the values for Y, Q, and P are unknown?

Yes, you can still solve this equation if the values for Y, Q, and P are unknown. However, you may not be able to find a numerical solution, as it will depend on the specific values of Y, Q, and P. In this case, you can solve for one variable in terms of the others, or you can leave the equation in its simplified form.

Can this equation be solved using the order of operations?

Yes, this equation follows the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). So, when solving the equation, you should first simplify any parentheses, then solve any exponents, followed by multiplication and division from left to right, and finally addition and subtraction from left to right.

Is there more than one solution to this equation?

Yes, there may be more than one solution to this equation, depending on the values of Y, Q, and P. For example, if Y = 2, Q = 4, and P = 1, the equation would be true. However, if we changed the values to Y = 4, Q = 4, and P = 1, the equation would still be true, giving us a different solution.

Can this equation be solved using substitution?

Yes, this equation can be solved using substitution. In fact, this method is often used to check the solution after using other methods, such as the order of operations. To use substitution, you can plug in the solution you found for one variable into the original equation and see if it is true. If it is, then the solution is correct.

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