Chapter 1.4, Problem 17P

Tell whether the expressions in each pair are equivalent.

$(12-7)+x$ and 5x

To determine

To find: Whether the expressions $\left(12-7\right)+x\text{ and }5x$ are equivalent or not.

Answer to Problem 17P

The expressions $\left(12-7\right)+x\text{ and }5x$ are not equivalent.

Explanation of Solution

Given:

The expressions are $\left(12-7\right)+x\text{ and }5x$ .

Calculation:

Solve $\left(12-7\right)+x$ as follows:

  $\begin{array}{l}\left(12-7\right)+x\\ \Rightarrow 5+x\end{array}$

The above equation is not equal to $5x$ .

Thus, the expressions $\left(12-7\right)+x\text{ and }5x$ are not equivalent.