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Mathematics 17 Online
OpenStudy (anonymous):

x+2/14=6/7+x-8/8

OpenStudy (anonymous):

\[\frac{ x+2 }{ 14 }=\frac{ 6 }{ 7 }+\frac{ x-8 }{ 8 }\]

OpenStudy (anonymous):

if you want to have it easier(without fractions) multiply the equation by the LCM of 14,7,8

hero (hero):

Mandy, subtract 6/7 from both sides

hero (hero):

Oh, and please unblock me

OpenStudy (anonymous):

I blocked you? how

hero (hero):

If you subtract 6/7 from both sides you end up with \[\frac{ x+2 }{ 14 } - \frac{ 6 }{ 7 } = \frac{ x-8 }{ 8 }\]

hero (hero):

I don't know but hover over my name and click "unblock"

OpenStudy (anonymous):

Oh sorry

OpenStudy (anonymous):

I didnt know i did

hero (hero):

So anyway, now multiply 6/7 by 2/2

OpenStudy (anonymous):

cross multiply?

hero (hero):

No, just muliply \[\frac{6}{7} \times \frac{2}{2}\]

hero (hero):

Mandy, we're almost done. What's the matter?

OpenStudy (anonymous):

sorry my kid spilt juice all over the floor

OpenStudy (anonymous):

12/14

OpenStudy (anonymous):

?

hero (hero):

Okay, so now we have \[\frac{ x+2 }{ 14 } - \frac{12 }{14 } = \frac{ x-8 }{ 8 }\]

hero (hero):

We can combine fractions on the left since the denominators are the same

hero (hero):

Do you remember how I did that the first time?

OpenStudy (anonymous):

12x+24/14 = x-8/8

OpenStudy (anonymous):

16x+192=14x-112

hero (hero):

\[\frac{ x+2 - 12 }{ 14 } = \frac{ x-8 }{ 8 }\]

hero (hero):

That's what you should have gotten

hero (hero):

Now study how I got that

OpenStudy (anonymous):

ok

hero (hero):

You have to simplify the left side now. Let me know what you get.

OpenStudy (anonymous):

x-10/14

hero (hero):

\[\frac{ x-10 }{ 14 } = \frac{ x-8 }{ 8 }\] Okay, now all you have to do is cross multiply and continue solving

OpenStudy (anonymous):

8x-80=14x-112

hero (hero):

Okay, continue solving for x

hero (hero):

You might get a fraction for x

hero (hero):

Don't forget to simplify the result, whatever you get.

hero (hero):

Mandy, are you there?

OpenStudy (anonymous):

Dang my internet froze on here Im back now

hero (hero):

ok

OpenStudy (anonymous):

so I got 8(x-10)=14(x-8)

hero (hero):

I could have sworn you did the next step already. The last thing you showed me was 8x - 80 = 14x - 112 Afterwards, I informed you to continue solving for x.

OpenStudy (anonymous):

-6=-32

hero (hero):

Why do you keep forgetting the x?

OpenStudy (anonymous):

i dont know sorry

hero (hero):

\(-6 \ne -32\)

OpenStudy (anonymous):

x=-32/6

hero (hero):

x is not negative

OpenStudy (anonymous):

x=16/3

hero (hero):

It was only supposed to take five minutes or less to get through this.

OpenStudy (anonymous):

lol for you but for me a problem can take me hours if i dont understand it

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