Question

Help!

Answer 1

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

Answer 2

That's much better.

Answer 3

@Emeyluv99

Answer 4

now where were we.

Answer 5

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

Answer 6

At the second denominator.

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

@Emeyluv99

Answer 12

oh my, it does

Answer 13

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

Answer 14

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

Answer 15

Nice anime pic x'3

Answer 16

that pic is awesome by the way

Answer 17

Mys is loves drawing like you and ok.

Answer 18

my sis*

Answer 19

so simplify the problem out:

6(2x-15) + 6x = 9x(3x-15)

Answer 20

Wait, I thought x's were out?

Answer 21

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

Answer 22

its our job now to get rid of them.

Answer 23

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

Answer 24

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.

Answer 25

Following so far.

Answer 26

Can we eliminate x's now?

Answer 27

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

Answer 28

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

Answer 29

To baically? What?

Answer 30

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

Answer 31

K.

Answer 32

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

Answer 33

then you get rid of -6x by adding 6x to both sides:

$$147x-12x^2-90=0$$

Answer 34

then you factor it again. ...

Answer 35

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

Answer 36

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

Answer 37

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

Answer 38

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

Answer 39

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