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Mathematics 10 Online
OpenStudy (anonymous):

Math help, please???????

OpenStudy (anonymous):

OpenStudy (anonymous):

@.Sam. Can you help me understand this? I'm able to redo a test, and I know the answer I just don't know how they did it.

sam (.sam.):

\[\frac{1}{3 x+9}-\frac{2}{x+3}=2\]

OpenStudy (anonymous):

Wait...what?

OpenStudy (anonymous):

Ok, wait that's the problem oops.

sam (.sam.):

First, common denominator to bring the fraction together. Common denominator is 3(x+3)

sam (.sam.):

Do you get \[-\frac{5}{3 (x+3)}=2\]

OpenStudy (anonymous):

Okay, let me write that down.

OpenStudy (anonymous):

Wait, so for the number 5 do I add the two twos and 1 to get 5?

OpenStudy (anonymous):

@.Sam.

sam (.sam.):

\[\frac{1}{3 x+9}-\frac{2}{x+3}=2 \\ \\ \frac{1}{3( x+3)}-\frac{2}{x+3}=2 \\ \\ \frac{1}{3( x+3)}-\frac{2}{(x+3)}\color{blue}{\frac{\times 3}{\times 3}}=2 \\ \\ \frac{1-6}{3( x+3)}=2 \\ \\ \frac{-5}{3(x+3)}=2\]

sam (.sam.):

Then multiply both sides by 3(x+3) \[-5=2(3)(x+3) \\ \\ -5=6(x+3) \\ \\ \frac{-5}{6}=x+3 \\ \\ -\frac{5}{6}-3=x \\ \\ x=-\frac{23}{6}\]

OpenStudy (anonymous):

@.Sam. How did you get the 23?

OpenStudy (anonymous):

Wait, never mind. I know.

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