Question

In the following exercises, solve.

$\frac{3}{s}+\frac{1}{t}=2fors$

Short answer

The solution is$s=\frac{3t}{2t-1}.$

Step-by-step solution

Step 1. Given Information.

The given equation is $\frac{3}{s}+\frac{1}{t}=2fors.$

Step 2. Solve 

To solve the equation, clear the fractions by multiplying both sides of the equations by the LCD,$st$

$$\begin{gathered} \left(st\right)\left(\frac{3}{s}+\frac{1}{t}\right)=2\left(st\right) \\ \left(st\right)\left(\frac{3t+s}{st}\right)=2st \\ 3t+s=2st \\ 3t=2st-s \\ 3t=s\left(2t-1\right) \end{gathered}$$

Now, divide both sides by $2t-1$to isolate s

$$\begin{gathered} \frac{3t}{2t-1}=\frac{s\left(2t-1\right)}{2t-1} \\ \frac{3t}{2t-1}=s \end{gathered}$$