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Mathematics 4 Online
OpenStudy (boobear7411):

PLEASE HELP !!!!!!!!!!!!!!!!!!

OpenStudy (boobear7411):

OpenStudy (boobear7411):

Completely off topic ^

OpenStudy (anonymous):

for school

OpenStudy (boobear7411):

yes , yes i do

OpenStudy (boobear7411):

no

OpenStudy (boobear7411):

I know. But Harry Styles its just my friends call me boobear

OpenStudy (boobear7411):

no

OpenStudy (boobear7411):

Yes harry is my favorite

OpenStudy (anonymous):

Okay bai

OpenStudy (boobear7411):

@amistre64

OpenStudy (ajprincess):

L.c.m of 3x+9 and x+3 is 3x+9. 3x+9=3(x+3) When u multiply by 3x+9 both sides u will get \[(3x+9)*\frac{1}{3x+9}-(3x+9)*\frac{2}{x+3}=2*(3x+9)\] \[\cancel{(3x+9)}*\frac{1}{\cancel{3x+9}}-3\cancel{(x+3)}*\frac{2}{\cancel{x+3}}=2*(3x+9)\] \[1-6=2*3x+2*9\] \[1-6=6x+18\] solve for x. Does that help? @boobear7411

OpenStudy (aravindg):

Nice explanation @ajprincess

OpenStudy (boobear7411):

i dont get it ?

OpenStudy (ajprincess):

what do u get when u factorise 3x+9 @boobear7411

OpenStudy (boobear7411):

-3 ??

OpenStudy (ajprincess):

nope:(

OpenStudy (boobear7411):

ugh

OpenStudy (boobear7411):

3(x+3)

OpenStudy (boobear7411):

?

OpenStudy (ajprincess):

yup

OpenStudy (boobear7411):

Alright so what do i do next ?

OpenStudy (boobear7411):

i'll be right back i have to do something

OpenStudy (ajprincess):

as u can see the denominators of the given fractions are different. if u want to add or subtract fractions with different denominators first u need to find a common denominator. this will be the lcm of the two denominators. in this case the common denominator is the lcm of 3x+9 and x+3. what is the lcm?

OpenStudy (boobear7411):

Icm ?

OpenStudy (ajprincess):

least common multiple

OpenStudy (boobear7411):

Oh i have no idea.

OpenStudy (ajprincess):

Really sorry. hav to go nw.

OpenStudy (boobear7411):

Omg . i s=need the answerrr

OpenStudy (aravindg):

ok I will try to continue ..lemme go through the working above

OpenStudy (aravindg):

Give me a minute

OpenStudy (boobear7411):

ok

OpenStudy (aravindg):

Well to make things simpler we need to get rid of the fractions first

OpenStudy (boobear7411):

ok

OpenStudy (aravindg):

Before doing so note that 3pi+9=3(pi+3)

OpenStudy (boobear7411):

ok

OpenStudy (aravindg):

So as ajprincess pointed out we can make the denominators same by just multiplying 2nd term with 3

OpenStudy (aravindg):

oops its x not pi lol

OpenStudy (boobear7411):

alright

OpenStudy (aravindg):

Anyways \[\dfrac{1}{3(x+3)}-\dfrac{3 \times 2}{3(x+3)}=2\]

OpenStudy (aravindg):

Notice that denominators are same now

OpenStudy (aravindg):

So simply subtract them

OpenStudy (aravindg):

\[\dfrac{1-6}{3(x+3)}=2\]

OpenStudy (boobear7411):

what to do next

OpenStudy (aravindg):

multiply with 3(x+3) on both sides

OpenStudy (aravindg):

\[-5=6(x+3)\]

OpenStudy (aravindg):

I hope you an do it from there :)

OpenStudy (boobear7411):

6?

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