SOLUTION: Can someone please help me work through these problems? a) Consider the following rational expression.Build the rational expression above into an equivalent expression with

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Question 233222: Can someone please help me work through these problems?

a) Consider the following rational expression.Build the rational expression
above into an equivalent expression with the denominator xy^5.

7/y

b) Consider the following rational expression.Build the rational expression
above into an equivalent expression with the denominator 18(x - 1).

(x+9)/(9 x - 9)

Thank you,
Alan

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
a) Consider the following rational expression.Build the rational expression
above into an equivalent expression with the denominator xy^5.
7/y
---
Set up the equation:
(7/y) = k/(xy^5)
Solve for k
k = (7xy^5/y) = 7xy^4
---
Therefore: 7/y = [7xy^4]/[xy^5]
=====================================
b) Consider the following rational expression.Build the rational expression
above into an equivalent expression with the denominator 18(x - 1).
(x+9)/(9 x - 9)
---
Do the same as above.
(x+9)/(9x-9) = k/[18(x-1)]
Solve for "k"
k = [18(x-1)(x+9)]/(9(x-1)] = 2(x+9)
----------------
Therefore (x+9)/(9x-9) = [2(x+9)]/[18(x-1)]
==============================================
Cheers,
Stan H.