Question

Solve the following equation for B. 2 = -3f + =1/5RB

Answer 1

The expression we have is:

$2=-3f+\frac{1}{5}RB$

Steps to solve for B:

Step 1. Add 3f to both sides of the equation:

$\begin{gathered} 2+3f=-3f+3f+\frac{1}{5}RB \\ 2+3f=\frac{1}{5}RB \end{gathered}$

Step 2. Multiply both sides by 5 to eliminate the 1/5 on the right side:

$\begin{gathered} 5(2+3f)=5(\frac{1}{5}RB) \\ 5(2+3f)=RB \end{gathered}$

Step 3. Divide both sides by R to left B alone in the right side:

$\begin{gathered} \frac{5(2+3f)}{R}=\frac{RB}{R} \\ \frac{5(2+3f)}{R}=B \end{gathered}$

Answer:

$\frac{5(2+3f)}{R}=B$