Question

**take a look! I need help really quick! solving rational expressions!

Answer 1

i have gotten as far as 0=-6w-2 and now i believe i am supposed to factor?

Answer 2

@ganeshie8 hi! you helped me out some last night, would you happen to know how to solve this as well?

Answer 3

@SolomonZelman any help?

Answer 4

hey there! what is your progress so far

Answer 5

did you attempt anything

Answer 6

yes i have gotten to 0=-6w-2. i am just stuck now!, i started by multiplying everything by w+4 and i ended up with 7=5-6w. then i subtracted 7.

Answer 7

hmm well you started good by multiplying by w+4
but you made a slight mistake
7=5-6w is not the result after simplifying
recheck it again especially the term -6w

Answer 8

just to make it easier for yu
\(\large 7=5-6\frac{w+4}{w}\)

Answer 9

okay so do you end up with 6w+4?

Answer 10

or just -24?

Answer 11

no what is \(\Large \frac{w+4}{w}\)

Answer 12

how would you simplify that

Answer 13

just cancel out the W and result with 4

Answer 14

you can't you w+4 on the top no 4w

Answer 15

not* 4w
you can do what said if you have 4w/w=4

Answer 16

so 4/w? as the result? im sorry i have issues with simple things like this that i should know!

Answer 17

well you have of it!
it should be 1+4/w
this a fraction split
if you have \(\large \frac{a+b}{a}\) you can write also as \(\ \frac{a}{a}+\frac{b}{a}=1+\frac{b}{a}\)

Answer 18

so what is the result so far after doing this

Answer 19

-6 4/w? im really confused, im not sure.

Answer 20

this is a common denominator stuff if you remember that's why we split the fraction like that

Answer 21

here:
\(\large 7=5-6(1+4/w)\) since we know that (w+4)/w=1+4/w

Answer 22

you should be thinking of solving the equation the usual why you solve them now
just think of 1+4/w as one unit like x for example
if we have 7=5-6x how would you solve that?

Answer 23

way* for why sorry... :)

Answer 24

dont you have to make it equal zero? then you factor?

Answer 25

yeah try solving 7=5-6x and then we deal with the other part later

Answer 26

okay so 0=-2-6w hahah like i had originally right?

Answer 27

no that's different my friend i give you a different variable hehe
7=5-6x here x=1+4/w
it is not just x=w so careful about this

Answer 28

now solve 0=-2-6x surely this is not the end

Answer 29

we want to isolate x okay

Answer 30

oh okay sorry i just need to get this problem done. im still not sure it looks just like the other problem and im not sure how to solve once we are at that step.

Answer 31

how about you add 2 to both sides?
-2-6x+2=2 ====>-6x=2

Answer 32

okay and then you would get -1/3=x.

Answer 33

yes correct
x=-1/3
now we said that x=1+4/w from our earlier equation
i set that myself to make it easier for you
so we go back to w
we then have 1+4/w=-1/3

Answer 34

start by subtracting 1 from both sides

Answer 35

actually there is a much easier way to do all this
but you started your way so i decided to go with your way to walk you through

Answer 36

so what do we get then if we subtracted 1 from both sides

Answer 37

1+4/w -1= -1/3 -1

Answer 38

4/w = ?

Answer 39

3?

Answer 40

no -1/3-1 is not 3

Answer 41

im confused as to what part of the problem we are solving haha and im sorry i just dont have very much time left to try and figure this out.

Answer 42

i know i am supposed to 1 find the LCD, 2 multiply it by all the parts of the expression, 3 simplify, 4 make it equal to zero and then factor.

Answer 43

hhh
after you multiplied by w+4
we got 7=5-6(1+4/w)
we were solving for 1+4/w and we got
1+4/w=-1/3
now we are looking for w here
so we need to isolate it completely

Answer 44

4/w= -4/3 now we need to take care of 4 to get only w in one side

Answer 45

eh you don't need to think about making it equal zero for linear equations
that's for quadratic equations you know

Answer 46

if you have 3x-4=6
you add 4 you get
3x=10
multiply by 1/3
you get x=10/3

Answer 47

okay im following^

Answer 48

now in our equation we have 4/w=-4/3
i got -4/3 from -1/3-1
if i multiply by 1/4 i get
1/w=-1/3

Answer 49

now we almost done

Answer 50

if 1/w=-1/3 then w=-3
i just flip both sides you know this yes?

Answer 51

yes okay i get that

Answer 52

plug in -3 to your equation and it should work

Answer 53

now let's do it the easier way perhaps easier for me LOL

Answer 54

hmm okay i will try plugging it in

Answer 55

7/(w+4)=5/(w+4)-6/w
i need common denominator for the right hand side
7/(w+4)=(5w-6(w+4))/(w(w+4))
more neat:
\(\Large \frac{7}{w+4}=\frac{5w-6(w+4)}{w(w+4)}\)

Answer 56

yup -3 works! thanks!

Answer 57

from here i can cancel 1/w+4 since it in both sides
then i get \(7=\large\frac{5w-6(w+4)}{w}\)
cross multiply
you get
\(7w=5w-6(w+4)\) and now everything is just solving a simple equation

Answer 58

YW!

Answer 59

ah wait! i have one more! let me try and go through it

Answer 60

i need to go actually
sorry time is out for me

Answer 61

just follow the same step
look at this question and do the same thing

Answer 62

okay thanks!