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OpenStudy (anonymous):
we meet again @lgbasallote :P
OpenStudy (anonymous):
\[\frac{ 14 }{ x-8 }+2=\frac{ 10 }{ x-8 }\]
@Hero
OpenStudy (lgbasallote):
im just watching
OpenStudy (anonymous):
But, the answer cannot be 8.
hero (hero):
You know these are my favorite
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OpenStudy (anonymous):
(:
OpenStudy (anonymous):
imma let hero do his magic :)
hero (hero):
Hey @GenGen96, subtract 10/(x-8) from both sides.
hero (hero):
Let me know what you get afterwards
OpenStudy (anonymous):
\[\frac{ 14 }{ x-8}+2-\frac{ 10 }{ x-8 }=0\]?
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hero (hero):
Yeah, but it is appropriate to put the fractions with the same denominators next to each other, so write it like this:
\[\frac{ 14 }{ x-8} -\frac{ 10 }{ x-8 }+2=0\]
OpenStudy (anonymous):
Okay
hero (hero):
You know what to do with fractions that have the same denominator, right?
OpenStudy (anonymous):
What?
hero (hero):
Combine them. Try to do it. If you can't, let me know.
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OpenStudy (anonymous):
\[\frac{ 14-10 }{ (x-8)^{2} }\]
OpenStudy (anonymous):
?
hero (hero):
The two fractions are being SUBTRACTED, not multiplied. You misinterpreted what I meant by combine them.
hero (hero):
You got the top part right though.
OpenStudy (anonymous):
(x-8)-(x-8)?
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hero (hero):
I hope yummydum isn't typing a full solution because that would just ruin the surprise.
hero (hero):
@GenGen96, tell me this. What would you do if you had to subtract
\[\frac{5}{6} - \frac{4}{6}\]
hero (hero):
Let me know how to subtract that
OpenStudy (anonymous):
just subtract the numerator so it'd be 1/6
OpenStudy (anonymous):
i wasnt going to :(
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hero (hero):
Sorry, I didn't know what you were doing.
OpenStudy (anonymous):
judgey much?
hero (hero):
Anyway, @GenGen96, how come you didn't do 6 - 6 ?
OpenStudy (anonymous):
because they're the same. so it's 4/x-8
hero (hero):
Very good
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hero (hero):
So now we have
\[\frac{ 4 }{ x-8}+2=0\]
hero (hero):
Now, subtract 2 from both sides.
OpenStudy (anonymous):
4/x-8=-2
hero (hero):
You can make the 2 a fraction, so you'll have:
\[\frac{ 4 }{ x-8}=\frac{-2}{1}\]
Now you can simply cross multiply
Let me know what you get.
OpenStudy (anonymous):
I haven't done that in awhile. Um, 4=-2x+16
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