Question

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

Answer 1

`\displaystyle r=(3t)/(t-1)`

Explanation:

Equation Solving

It's given the equation:

`\displaystyle t=(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=(3t)/(t-1)}`