Chapter 4, Problem 21PT

To determine

To solve and check: the given equation

Answer to Problem 21PT

The required solution is $c=-126$

Explanation of Solution

Given:

  $\frac{c}{3}=-42$

Calculation:

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

Consider the equation.

  $\frac{c}{3}=-42$

Solve the equation.

  $\frac{c}{3}=-42$

  $\frac{c}{3}\times 3=-42\times 3$ (Multiplication property of equality)

  $c=-126$

Therefore the solution is $c=-126$

CHECK:

  $\begin{array}{l}\frac{c}{3}=-42\\ \frac{-126}{3}=-42\end{array}$

  $-42=-42$ (True)

Therefore it is verified that that $c=-126$ is the solution of given equation.

Conclusion:

Therefore the solution is $c=-126$