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- anonymous

HelloGoodnight -RECIEVE ONE MEDAL FOR HELPING- QUESTION IN POST

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- chestercat

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- Nnesha

goodnight. have a nice dreamz

- anonymous

\[1/5(X-15)+1/9(X+9)=X+7\]

- anonymous

@wolf1728 I don't know how to do this . Do you think you can help me solve it.

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## More answers

- wolf1728

I made a better graphic of the problem:

##### 1 Attachment

- wolf1728

That becomes
1/(5x -75) + 1/(9X +81) = x + 7

- anonymous

Okay so can you tell me whats the next step

- wolf1728

We could multiply both sides by (5x -75) and get
1 + (5x -75) / (9x + 81) = (x +7) * (5x -75)

- anonymous

Thats the answer or is that step 1

- wolf1728

That's step 1
I'm guessing you have to solve for x right?

- anonymous

Okay and yep its solving the equation

- anonymous

What's next . Sorry I'm trying to figure out this step

- wolf1728

Here's the next step

##### 1 Attachment

- anonymous

Okay Can you tell me if 1/13 is the answer. I think I'm doing it right but I'm not sure

- wolf1728

I'm working this out as we speak - I don't have the answer yet.
I think I've found a quicker way.

- anonymous

Okay !

- wolf1728

I am trying to find a way to get rid of the "1" or the (5x-75)
but something always gets left over

- anonymous

Okay let me see too

- anonymous

I have the answers but I need to know the steps on how to get them so I can understand it

- anonymous

kaun academy bro that will help u

- wolf1728

I'd say the next step MIGHT be multiplying
5x^2 -40x -526 by (9x +81)
That would produce a cubic equation equaling (5x -75) which would be difficult to solve.
Something should be cancelling here.

- anonymous

Yes, How'd you get five x squared

- anonymous

That's thepart I'm kind of confused by

- wolf1728

Look at the second graphic I posted

- anonymous

Okay

- anonymous

Yeah I still don't get it

- wolf1728

That's about as far as I can go
I could try using Excel to get the answer (which I'm doing right now)
but it won't show you the method

- anonymous

Okay that's fine take your time.

- anonymous

@ganeshie8

- anonymous

@wolf1728 Excel is going to be a link too?

- wolf1728

No Excel is just a program for doing calculations and if you know how to program it, you can set it up to do trial and error computations.

- anonymous

ohhhh ok

- anonymous

http://prntscr.com/8fokd1

- Nnesha

facepalm **

- anonymous

aha what happen nnesha

- Nnesha

so x-5 and x-9 are not at the denominator \[\frac{ x-5 }{ 5} +\frac{ x+9 }{ 9}=x+7\] this is your question right ?

- wolf1728

Aha - that second graphic you posted is different than the other one you posted

- Nnesha

leftside) find common denominator

- anonymous

Ah sorry wolf but to nnesha its 15 so x-15/5

- Nnesha

ohh yea sorry 15*

- Nnesha

what's the common denominator ?

- anonymous

45

- Nnesha

yes right \[\frac{ 9(x-15)+5(x+9) }{ 45 }=x+7\]
multiply the numerator of 1st fraction by the denominator of 2nd fraction (9(x-15))
multiply the numerator of 2nd fraction with the denominator of 1st fraction (5(x+9)
now distribute parentheses by outside number 9(x-15) ="??
5(x+9)=???
after that combine like terms

- anonymous

9+5=14x

- Nnesha

oh no no you can't add 5 and 9
first you should distribute x-15 by 9
distributive property ?
a(b+c) = a*b + a*c =ab +ac

- Nnesha

9(x-15) = 9 times x + 9 times -15 = ?

- anonymous

Okay question. How come you switched I thought it was suppose to be 5(x-15)+9(x=9)

- anonymous

How come it was switched?

- anonymous

sorry *(x+9)

- Nnesha

ugh i can't use draw tool >.<
well it's like cross multiplication
when we find common denominator
we should multiply the numerator of `1st` fraction by the denominator of `2nd` fraction |dw:1442104883666:dw|

- anonymous

loll okay I don't 100% understand that but I am gonna go with the flow

- anonymous

9x-75+5x+40

- wolf1728

How about eliminating the denominators and multiply 45 by (x + 7)

- anonymous

I thought that 45 was the denominators @wolf1728 and how did you get to this other side of the equation

- Nnesha

ah sorry https://www.mathsisfun.com/numbers/common-denominator.html
here read this
i've to go i hope other users explain this better than meh XD lol good luck! :=)

- wolf1728

9* (x-15) + 5*(x+9) = 45 * (x + 7)

- anonymous

nooooo stay pls help me finish the problem i get it just not that part @Nnesha

- anonymous

Ohh okaya @wolf1728

- wolf1728

That help a little HelloGood Morning?

- Nnesha

ye but we still have to multiply 9(x-15) + 5(x+9) that's what he didn't understand

- wolf1728

okay - I'll finish it up if you want me to.

- anonymous

Okay yeah wolf . and yeah thats the part i didnt understand . Go ahead wolf

- wolf1728

Okay now we have
9* (x-15) + 5*(x+9) = 45x + 315

- wolf1728

You see that right?

- anonymous

okay where'd you get 315 from

- wolf1728

Multiply 45 * (x + 7)
you get 45x + 315 (which is 45*7)

- anonymous

okay got that.

- wolf1728

Okay so now we do a little multiplying
9* (x-15) + 5*(x+9) = 45x + 315
that equals 9x -135
can you multiply 5*(x +9)?

- anonymous

5*x=5x and 5*9=45 5x+45

- anonymous

where'd the 135 come from

- wolf1728

That's right so we now have
9x -135 + 5x +45 = 45x +315

- wolf1728

I multiplied 9 *(x -15)

- anonymous

okay

- wolf1728

Now we have to collect the terms in this:
9x -135 + 5x +45 = 45x +315

- anonymous

okay 9x+5x=14x

- wolf1728

So, we have
14x -135 + 45 = 45x + 315

- anonymous

yeah so 45x-14x =31x

- wolf1728

Very good so we now have
-135 + 45 = 31x + 315

- anonymous

yay!

- wolf1728

There's more to do though

- anonymous

-135+45=-90

- anonymous

lol yeah sorry i was celebrating

- anonymous

-90=31x+315

- wolf1728

-90 = 31x + 315

- wolf1728

Very good
and now?

- anonymous

Okay -90+315=225

- anonymous

225/-31

- wolf1728

No not quite yet.
-90 = 31x + 315
Now let's add -315 to both sides

- anonymous

oh -90+-315=-405

- wolf1728

Right so,
-405 = 31x

- wolf1728

and then x equals ?

- anonymous

okay so x=-405/-31 !

- wolf1728

Yes and if we calculate that it equals
-13.064516129

- anonymous

yossssss

- anonymous

You're the greatest

- wolf1728

So now you have your answer!

- wolf1728

Shucks, thanks :-)

- anonymous

loll You're welcome but really Thank you !

- wolf1728

you are welcome - glad I stuck it out to get you the answer

- anonymous

Yes me too like I really appreciate it, my professor said this is going to be the hardest test of the class so i must know the steps

- wolf1728

okay, now at least you know the steps for this problem.
Sorry, I started out with the wrong equation.

- anonymous

@wolf1728 I'm sorry to bother you but I have one more problem and it's not as hard as the first one i promise. Just need to know these steps . And that's not a problem it was my fault i should've screenshotted it from the jump

- wolf1728

Yes the screen shot was MUCH easier to read :-)

- anonymous

Agreed!

- wolf1728

You have another problem huh?

- anonymous

Yeah one more I promise lmao

- wolf1728

okay make it easy :-)

- anonymous

Okay :)

- anonymous

http://prntscr.com/8fp3ct

- anonymous

Oh hold one sec I wrote it wrong

- wolf1728

Yes it can't have two equal signs

- anonymous

Yeah i meant an + haha but lets move this question to a new post i'll tag you

- wolf1728

Okay

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