Chapter 3.3, Problem 15OE

To determine

To describe: the change in the given equation to produce an equivalent equation with the variable alone in one side and state the equivalent equation.

Answer to Problem 15OE

First subtract 1 from both sides then divide both side by $-\frac{2}{9}$ .

The equivalent equation is $v=-\frac{27}{2}$ .

Explanation of Solution

Given information:

An equation is given as

  $1-\frac{2}{9}v=4$

Calculation:

Consider the given equation.

  $1-\frac{2}{9}v=4$

Now, for getting the variable in one side alone, first subtract 1 from both sides then divide both side by $-\frac{2}{9}$ .

  $\begin{array}{c}1-\frac{2}{9}v-1=4-1\\ -\frac{2}{9}v=3\\ \frac{-\frac{2}{9}v}{-\frac{2}{9}}=\frac{3}{-\frac{2}{9}}\\ v=-\frac{3\times 9}{2}\\ v=-\frac{27}{2}\end{array}$

The equivalent equation is $v=-\frac{27}{2}$ .