Chapter EP, Problem 1.3.13EP

To determine

To find: The solution of the given equation and check the solution.

Answer to Problem 1.3.13EP

The solution is $k=5$ .

Explanation of Solution

Given:

The given equation is,

  $3\left(k-2\right)=k+4$

Calculation:

The equation is solved as,

  $\begin{array}{c}3\left(k-2\right)=k+4\\ 3k-6=k+4\\ 2k=10\\ k=5\end{array}$

Check the solution by substituting the value in the given expression,

  $\begin{array}{c}3\left(5-2\right)=5+4\\ 15-6=9\\ 9=9\end{array}$

Therefore, the solution is $k=5$ .