brainfreeze: how do i remove m from this equation?

Question

anonymous · Answer

$$\frac{ r_1 }{ m_2 } - \frac{ r_2 }{ m2 } = 1$$

anonymous · Answer

the equation "looks like this"

anonymous · Answer

i need only r1-r2 on that side, but my brain is malfunctioning

anonymous · Answer

anyone?

asnaseer · Answer

do you mean "how do I remove $m_2$" from the equation?

(rather than m)

anonymous · Answer

both m's

anonymous · Answer

i don't know why this is confusing me..

asnaseer · Answer

both m's are $m_2$ - correct?

anonymous · Answer

m1 and m2 are different

anonymous · Answer

which is why i numbered them

asnaseer · Answer

you have numbered them both as $m_2$

anonymous · Answer

then i made a mistake

anonymous · Answer

$$\frac{ r_1 }{ m_2 } - \frac{ r_2 }{ m_1 } = 1$$

asnaseer · Answer

in which case $m_1$ and $m_2$ are two different variables. so what do you mean when you say you want to remove m?

anonymous · Answer

i want them on the other side

asnaseer · Answer

so you want to isolate $m_1$ and $m_2$ on one side of the equation?

anonymous · Answer

i want to have this : $$r_1-r_2 = m_2 ...$$

anonymous · Answer

exactly

asnaseer · Answer

I don't believe you can as you will get this:$$\frac{ r_1 }{ m_2 } - \frac{ r_2 }{ m_1 } = 1$$therefore:$$\frac{r_1m_1-r_2m_2}{m_2m_1}=1$$therefore:$$r_1m_1-r_2m_2=m_2m_1$$

asnaseer · Answer

the best you could then do is divide both sides by, say, $m_1$ to get:

anonymous · Answer

so..i'm not just going full-retard

asnaseer · Answer

$$r_1-r_2\frac{m_2}{m_1}=m_2$$

asnaseer · Answer

hehe - no - you are definitely not stupid my friend! :)

anonymous · Answer

phew, what a relief. 
But now i have to start all over again with my equation

anonymous · Answer

thanks though!

asnaseer · Answer

yw :)