Chapter 1.1, Problem 36E

To determine

To solve the expression $f+3\pi =7\pi$ and verify the solution

Answer to Problem 36E

  $f=4\pi$

Explanation of Solution

Given:

  $f+3\pi =7\pi$

Calculation:

Now,

  $\Rightarrow f+3\pi =7\pi$

  $\Rightarrow f+3\pi -3\pi =7\pi -3\pi$ (Subtracting both sides by $3\pi$ )

  $\Rightarrow f=4\pi$

Verification:

Now, substitute $f=4\pi$ in given expression.

  $\begin{array}{l}\Rightarrow 4\pi +3\pi =7\pi \\ \Rightarrow 7\pi =7\pi \end{array}$

Here, Left Hand Side is equal to Right hand side.

So, the obtained solution is correct.

Conclusion:

Hence, the required solution is $f=4\pi$ .