Question

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

Answer 1

The expression we have is:

`2=-3f+(1)/(5)RB`

Steps to solve for B:

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

`\begin{gathered} 2+3f=-3f+3f+(1)/(5)RB \\ 2+3f=(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((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} (5(2+3f))/(R)=(RB)/(R) \\ (5(2+3f))/(R)=B \end{gathered}`

Answer:

`(5(2+3f))/(R)=B`