Chapter 4, Problem 22PT

To determine

To solve and check:the given equation

Answer to Problem 22PT

The required solution is $m=-\frac{36}{5}$

Explanation of Solution

Given: $-\frac{m}{12}=\frac{3}{5}$

Calculation:

The objective is to solve the equation and to check the solution.

Consider the equation.

  $-\frac{m}{12}=\frac{3}{5}$

Solve the equation.

  $-\frac{m}{12}=\frac{3}{5}$

  $-\frac{m}{12}\times -12=\frac{3}{5}\times -12$ (Multiplication property of equality)

  $m=-\frac{36}{5}$

Therefore the solution is $m=-\frac{36}{5}$

CHECK:

  $\begin{array}{l}-\frac{m}{12}=\frac{3}{5}\\ -\frac{\left(-\frac{36}{5}\right)}{12}=\frac{3}{5}\\ \frac{36}{12\times 5}=\frac{3}{5}\end{array}$

  $\frac{3}{5}=\frac{3}{5}$ (True)

Therefore it is verified that that $m=-\frac{36}{5}$ is the solution of given equation.

Conclusion:

The required solution is $m=-\frac{36}{5}$