Chapter 2.1, Problem 13P

Solve each equation using multiplication or division. Check your answer.

$-9=\frac{y}{-3}$

To determine

To Solve:The equation $-9=\frac{y}{-3}$ and check the solution.

Answer to Problem 13P

The solution of the equation $-9=\frac{y}{-3}$ is $y=27$ .

Explanation of Solution

Given information:

The equation $-9=\frac{y}{-3}$

Concept and Formula Used:

Operation of variables. Properties of equality.

Calculation:

The given equation is

  $\begin{array}{l}-9=\frac{y}{-3}\\ \text{Multiply both sides by }-3\\ -9\times -3=\frac{y}{-3}\times -3\left(\text{Multiplication property of equality}\right)\\ y=27\left(\text{Simplify}\right)\end{array}$

To check put the value of $y=27$ in the equation

  $\begin{array}{l}-9=\frac{y}{-3}\\ -9\stackrel{?}{=}\frac{27}{-3}\\ -9=-9\\ \text{As LHS}=RHS\text{ therefore the solution is correct}\end{array}$

Conclusion:

The solution of the equation $-9=\frac{y}{-3}$ is $y=27$ .