Question

In the following exercises, solve.

$r=\frac{s}{3-t}fort$

Short answer

The solution is$t=\frac{3r-s}{r}.$

Step-by-step solution

Step 1. Given Information.   

The given equation is$r=\frac{s}{3-t}fort.$

Step 2. Solve 

To solve the equation, clear the fractions by multiplying both sides of the equations by $3-t$

$$\begin{gathered} \left(3-t\right)\times \left(r\right)=\left(\frac{s}{3-t}\right)\times \left(3-t\right) \\ 3r-rt=s \\ 3r-s=rt \end{gathered}$$

Now, divide both sides by rto isolate t

$$\begin{gathered} \frac{3r-s}{r}=\frac{rt}{r} \\ \frac{3r-s}{r}=t \end{gathered}$$