Question

Can someone help me out with this? I've used a calculator but none of the answers are options. Also, if you can show work, that would be fantastic.

Answer 1

Wow this one definitely tested me and was kind of tedious but I think I figured it out for you!
First times each term by the LCD which would be T(m)(n).

`( (1)/(m) (t)(m)(n)) + ( (1)/(n) (t)(m)(n)) = ( (1)/(t) (t)(m)(n))`
This cancels out the denominators and gives you a new equation.

`t(n) + t(m) = m(n)`
This is where it got a little confusing but I moved the terms with m to one side so that they could be factored out to isolate m.

`t(n) = m(n) - t(m)`
Factoring out the m from the two terms gives you this equation.

`t(n) = m(n - t)`
There is now only one term still connected to the m variable which can just be divided out. Giving you your final answer.

`(t(n))/(n - t) = m`

Hope this helped and was clear enough!
:)