Question

How do you solve this:

Answer 1

\[(1/r) + (r/(2-r))=-7/4\]

Answer 2

\(\dfrac{1}{r}+\dfrac{r}{2-r}=-\dfrac{7}{4}\)
It looks like you need a common denominator.

Answer 3

right but it gets a little messy later and I got confused

Answer 4

I multiplied the entire equation through by each denominator to eliminate the fractions.

Answer 5

One at a time will help to reduce the confusion.

Answer 6

Do the denominator calculus of the left equation. Will be: r(r - 2). After, do the normal account. Will be:
\[\dfrac{-r^2-r+2}{(r-2)r}=-\dfrac{7}{4}\]
Now continue the calculus doing the cross multiplying.