Chapter 1.2, Problem 12E

To determine

To calculate: To solve the equation and check your solution

Answer to Problem 12E

Solution of equation is $n=4$

Explanation of Solution

Given: Equation is $36=13n-4n$

Calculation:

Equation is given as follows:

  $36=13n-4n$

On solving the above equation:

  $\begin{array}{l}9n=36\\ n=\frac{36}{9}\\ n=4\end{array}$

Checking the Solution:

Substitute $n=4$ in the right side of equation $36=13n-4n$

  $\begin{array}{l}\Rightarrow 13\left(4\right)-4\left(4\right)\\ \Rightarrow 52-16\\ \Rightarrow 36\end{array}$

Left hand side of equation is equal to right hand side of equation.

Thus, $n=4$ is solution of equation.

Conclusion:

Hence, solution of equation is $n=4$