Question

Make r the subject of the formula t = r
_
r - 3

Answer 1

We will try to leave the letter
`r` alone by modifying the given equation.

1. 
   `t=(r)/(r-3)`
2. 
   `(1)/(t)=(r-3)/(r)`
3. 
   `(1)/(t)=1-(3)/(r)`
4. 
   `(1)/(t)-1=-(3)/(r)`
5. 
   `1-(1)/(t)=(3)/(r)`
6. 
   `(1)/(3)-(1)/(3t)=(1)/(r)`
7. 
   `((t-1)/(3t) )^(-1)=((1)/(r) )^(-1)`
8. 
   `(3t)/(t-1)=r`

This equation is defined with the following expressions.

• 
  `t\\eq 1`
• 
  `r\\eq 3`

Ans:
`r=(3t)/(t-1)`