Chapter 4.6, Problem 30SR

To determine

To check and solve:The given equation

Answer to Problem 30SR

The solution of the equation $-\frac{y}{6}=-2$ is $y=12$ .

Explanation of Solution

Given: $-\frac{y}{6}=-2$

Calculation:

The equation can be written as,

  $-\frac{y}{6}=-2$

  $-\frac{y}{6}\times 6=-2\times 6$ Multiply 6 on both sides.

  $-y=-12\text{ Simplify}$

  $\begin{array}{l}-y(-1)=-12(-1)\text{ Multiply -1 both sides}\text{.}\\ \text{y = 12}\end{array}$

Hence, the solution of the equation is $\text{y = 12}$ .

Check,

Substitute $\text{y = 12}$ in $-\frac{y}{6}=-2$ ,

  $\begin{array}{l}-\frac{12}{6}=-2\text{ Replace 12 for y}\\ \text{-2 = -2 True}\text{.}\end{array}$

Conclusion:Hence,the solution of the equation $-\frac{y}{6}=-2$ is $y=12$ .