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Algebra 13 Online
OpenStudy (anonymous):

simplify: see below>>>>>>>>>>>>>

OpenStudy (anonymous):

\[\frac{ 5w }{ w-4 }=5+\frac{ 4w }{ w-4 }\]

OpenStudy (debbieg):

What's the LCD?

OpenStudy (anonymous):

w=-20+9w??

OpenStudy (debbieg):

Multiply both sides of the equation by the LCD. The rational expressions will go away and you will have a simple linear equation to solve.

OpenStudy (anonymous):

lcd is (w-4)

OpenStudy (debbieg):

Right. Now multiply by that on both sides (don't forget to distribute to both terms on the RHS).

OpenStudy (anonymous):

is the 5 seperate or together with the right fraction?

OpenStudy (anonymous):

ok I got w=-20+9w

OpenStudy (debbieg):

It is a separate term.

OpenStudy (debbieg):

after you multiply by LCD, should have: 5w=5(w-4)+4w

OpenStudy (debbieg):

I'm not sure how you got w=-20+9w..... that's not right.

OpenStudy (anonymous):

w=5

OpenStudy (debbieg):

Yup! :) But make sure you figure out where your initial mistake was. :)

OpenStudy (debbieg):

I think you subtracted the 4w from the LHS but did not take it off on the RHS. That's my guess.

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