Chapter 1.2, Problem 14E

To determine

To calculate: To solve the equation and check your solution

Answer to Problem 14E

Solution of equation is $c=-2$

Explanation of Solution

Given: Equation is $6c-8-2c=-16$

Calculation:

Equation is given as follows:

  $6c-8-2c=-16$

On solving the above equation:

  $\begin{array}{l}6c-8-2c=-16\\ 6c-2c=-16+8\\ 4c=-8\\ c=\frac{-8}{4}\\ c=-2\end{array}$

Checking the Solution:

Substitute $c=-2$ in the left side of equation $6c-8-2c=-16$

  $\begin{array}{l}\Rightarrow 6\left(-2\right)-8-2\left(-2\right)\\ \Rightarrow -12-8+4\\ \Rightarrow -20+4\\ \Rightarrow -16\end{array}$

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

Thus, $c=-2$ is solution of equation.

Conclusion:

Hence, solution of equation is $c=-2$