Help!

- anonymous

Help!

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- anonymous

1/3x+ 1/3 (2x-15) =3 1/2

- Jhannybean

That's much better.

- anonymous

@Emeyluv99

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- anonymous

now where were we.

- anonymous

$$(3(2x-15) 1 + (3(2x-15)) (3x) \frac{1}{(3(2x-15))} = (3(2x-15)) (3x) \frac{7}{2}$$

- anonymous

At the second denominator.

- anonymous

yes, so when we multiply by the second denominator, we get ^^ that mess up there

- anonymous

so lets simplify the second equation when the (3(2x-15)) cancels itself out

- anonymous

$$(3(2x-15)) 1 + (3x) 1 = (3(2x-15)) (3x) \frac{7}{2}$$

- Jhannybean

Original question: \[\sf \frac{1}{3x}+\frac{1}{3(2x-15)}=\frac{7}{2}\]

- anonymous

@Emeyluv99

- anonymous

oh my, it does

- anonymous

it'll be worth it in the end! lets finish off the last denominator! 2!

- anonymous

##### 1 Attachment

- anonymous

$$2(3(2x−15))1+2(3x)1=2(3(2x−15))(3x) \frac{7}{2}$$

- anonymous

Nice anime pic x'3

- anonymous

that pic is awesome by the way

- anonymous

Mys is loves drawing like you and ok.

- anonymous

my sis*

- anonymous

so simplify the problem out:
6(2x-15) + 6x = 9x(3x-15)

- anonymous

Wait, I thought x's were out?

- anonymous

no not yet, because we had to multiply by the denominators and the denominators had x's in them

- anonymous

its our job now to get rid of them.

- anonymous

and its quite easy too, no calculator required! watch!

- anonymous

6(2x-15) + 6x = 9x(2x-15)
6(2x-15) - 9x(2x-15) = -6x <- I just switched the places of 9x(2x-15) and 6x, because now i can use the ax+bx = (a+b) x rule.

- anonymous

Following so far.

- anonymous

Can we eliminate x's now?

- anonymous

so that would give you (2x-15)(6-9x) = -6x

- anonymous

to basically, what we have now on the left side is a factored quadratic.

- anonymous

To baically? What?

- anonymous

sorry, SO, we have a factored quadratic on the left. which equates to -6x.

- anonymous

K.

- anonymous

what you have to do now is expand the quadratic on the left which will give you
$$147x-18x^2-90=-6x$$

- anonymous

then you get rid of -6x by adding 6x to both sides:
$$147x-12x^2-90=0$$

- anonymous

then you factor it again. ...

- anonymous

Session expired. :( It's OK though, you have some physics right? :)

- anonymous

ugh hang on, we mustve done somehting wrong... im getting radicals

- anonymous

ill get back to you later, i have some homework to do... is that ok?

- anonymous

It's fine. I could try to help if you want.

- anonymous

im writing a lab up so its fine... thanks tho!

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