Question

solve the rational equation. check your answer.
3/ m-4 + 1/3 (m - 4) = 6/m

Answer 1

factorise on left hand side and cross multiply

Answer 2

I don't know how to factor

Answer 3

this my teach u how to factor: If u still need help, tag me
http://www.purplemath.com/modules/solvrtnl.htm

Answer 4

\[\large \frac{ 3 }{ m-4 }+\frac{ 1 }{ 3(m-4) }=6m\]\[\large \frac{ 3 }{ 3 }*\frac{ 3 }{ (m-4) }+\frac{ 1 }{ 3(m-4) }=6m\] you multiply both 3 on the top and bottom of the first fraction because the LCD = 3(m-4) So you get \[\large \frac{ 3(3) }{ 3(m-4) }+\frac{ 1 }{ 3(m-4) }=6m\]Now you've got your LCD are you able to simplify the rest?

Answer 5

From the beginning multiply both sides by 3( m-4) in order to eliminate fractions quickly and in one

Answer 6

No, I don't really understand any of it

Answer 7

What part u didn't get?

Answer 8

I know my answer needs to be 9, but i don't know howto show my work.

Answer 9

jhanny was on the right track, what part u didn't get from it?

Answer 10

I understand what she has written so far I just don't know what to do after that.

Answer 11

so attention on the right side wann being there 6 divide by m and not 6 time m

Answer 12

From what I have posted,simplify the expression. \[\large \frac{ 9 }{ 3m-12 }+\frac{ 1 }{ 3m-12 }\] since we have a common denominator, we can simplify further, \[\large \frac{ 10 }{ 3m-12 }=6m\] Now we want all the m's on one side. s we can "cross multiply" \[\large \frac{ 10 }{ 3m-12 }=\frac{ 6m }{ 1}\]\[\large 10=6m(3m-12)\] can you carry on from here?

Answer 13

I only know how to do the first step. I can try if you tell me what I need to do next.

Answer 14

@Jhannybean on the right side wann being 6/m

and not 6m

Answer 15

Thank you @jhonyy9 it was a typo :( Missed that!

Answer 16

was my pleasure but ATTENTION

Answer 17

So, what do I need to do next?

Answer 18

@Jhannybean help for medal please

Answer 19

Are you asking for one? haha

Answer 20

I will give a medal to whoever helps finish the problem

Answer 21

@jhonyy9 and @Jhannybean

Answer 22

so we have \[\large \frac{ 10 }{ 3m-12 }=\frac{ 6 }{ m }\]\[\large 10m=6(3m-12)\]\[\large 10m = 18m-72\]\[\large 72=18m-10m\]\[\large 72=8m\] and now what is \[\frac{ 72 }{ 8 }\]? You will have your answer.

Answer 23

9, Thank you very much.

Answer 24

No problem