Chapter 2.1, Problem 9P

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

$-4.4=-4y$

To determine

To Solve:The equation $-4.4=-4y$ and check the solution.

Answer to Problem 9P

The solution of the equation $-4.4=-4y$ is $y=1.1$ .

Explanation of Solution

Given information:

The equation $-4.4=-4y$

Concept and Formula Used:

Operation of variables. Properties of equality.

Calculation:

The given equation is

  $\begin{array}{l}-4.4=-4y\\ \text{Divide both sides by }-4\\ \frac{-4.4}{-4}=\frac{-4y}{-4}\left(\text{Division property of equality}\right)\\ y=1.1\left(\text{Simplify}\right)\end{array}$

To check put the value of $y=1.1$ in the equation

  $\begin{array}{l}-4.4=-4y\\ -4.4\stackrel{?}{=}-4\left(1.1\right)\\ -4.4=-4.4\\ \text{As LHS}=RHS\text{ therefore the solution is correct}\end{array}$

Conclusion:

The solution of the equation $-4.4=-4y$ is $y=1.1$ .