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Mathematics 15 Online
OpenStudy (anonymous):

Solve equation:

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

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):

\[\frac{ 14 }{ x-8}+2-\frac{ 10 }{ x-8 }=0\]?

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.

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)?

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 :(

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

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

OpenStudy (anonymous):

?

hero (hero):

Yes, that is correct. Now continue solving for x

OpenStudy (anonymous):

x=6

hero (hero):

Great job

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