Question

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

Answer 1

9514 1404 393

Answer:

  r = 120t/(120-t)

Step-by-step explanation:

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

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