Question

Inverse equation t=120r/r+120 R=???

Answer 1

9514 1404 393

Answer:

r = 120t/(120-t)

Explanation:

Multiply by the denominator, isolate r terms, then divide by the coefficient of r.

`t=(120r)/(r+120)\qquad\text{given}\\\\t(r+120)=120r\qquad\text{multiply by $(r+120)$}\\\\120t=120r-tr\qquad\text{subtract $tr$}\\\\(120t)/(120-t)=r\qquad\text{divide by the coefficient of $r$}\\\\\boxed{r=(120t)/(120-t)}`