Chapter 1.7, Problem 66P

Reasoning Demonstrate why $\frac{12x-6}{6}\ne 2x-6.$

Show your work.

To determine

To find: The reason for which $\frac{12x-6}{6}\ne 2x-6$ .

Answer to Problem 66P

Simplifying the given expression $\frac{12x-6}{6}$ , we will get $2x-1$ .

Explanation of Solution

Given information: Given, $\frac{12x-6}{6}\ne 2x-6$ .

Calculation:

By simplifying the expression $\frac{12x-6}{6}$ ,

$\begin{array}{l}\frac{12x-6}{6}\\ =\frac{12x}{6}-\frac{6}{6}\\ =2x-1\end{array}$

  $\therefore \frac{12x-6}{6}=2x-1$

So, $\frac{12x-6}{6}\ne 2x-6$ .