Question

make r the subject of the formulat=r/r-3

Answer 1

Answer:

$\displaystyle r=\frac{3t}{t-1}$

Step-by-step explanation:

Equation Solving

It's given the equation:

$\displaystyle t=\frac{r}{r-3}$

It's asked to make r the subject of the equation. We'll proceed as follows.

Multiply by r-3 to eliminate denominators:

$\displaystyle t(r-3)=r$

Operate the parentheses:

$\displaystyle tr-3t=r$

Subtract r:

$\displaystyle tr-r-3t=0$

Add 3t:

$\displaystyle tr-r=3t$

Take out r as a common factor:

$\displaystyle r(t-1)=3t$

Divide by t-1:

$\boxed{\displaystyle r=\frac{3t}{t-1}}$