Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Select the correct answer from each drop-down menu.

The given equation has been solved in the table:

[tex]\[
\begin{tabular}{|c|c|}
\hline
Step & Statement \\
\hline
1 & $-\frac{y}{2} - 6 = 15$ \\
\hline
2 & $-\frac{y}{2} - 6 + 6 = 15 + 6$ \\
\hline
3 & $-\frac{y}{2} = 21$ \\
\hline
4 & $-2 \cdot -\frac{y}{2} = -2 \cdot 21$ \\
\hline
5 & $y = -42$ \\
\hline
\end{tabular}
\][/tex]

Use the table to complete each statement:

1. In step 2, the [tex]$\square$[/tex] property of equality was applied.
2. In step 4, the [tex]$\square$[/tex] property of equality was applied.

Sagot :

GinnyAnswer
Sure, let's analyze the steps provided in the table to identify the correct properties of equality applied at each step.

1. Original Equation:
[tex]\[ -\frac{y}{2} - 6 = 15 \][/tex]

2. Step 2:
[tex]\[ -\frac{y}{2} - 6 + 6 = 15 + 6 \][/tex]
Here, 6 is added to both sides of the equation. This is an application of the Addition property of equality.

3. Step 3:
[tex]\[ -\frac{y}{2} = 21 \][/tex]
The -6 and +6 on the left side cancel each other out, simplifying the equation to [tex]\(-\frac{y}{2} = 21\)[/tex].

4. Step 4:
[tex]\[ -2 \cdot -\frac{y}{2} = -2 \cdot 21 \][/tex]
Here, both sides of the equation are multiplied by -2. This is an application of the Multiplication property of equality.

5. Step 5:
[tex]\[ y = -42 \][/tex]
Simplifying the multiplication, we find that [tex]\(y = -42\)[/tex].

So, based on the steps above:

In step 2, the Addition property of equality was applied.

In step 4, the Multiplication property of equality was applied.
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.