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OpenStudy (anonymous):
Math help, please???????
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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.
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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.
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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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