Studdy AI Logo
Math  /  Algebra

QuestionSelect the correct answer from each drop-down menu.
The given equation has been solved in the table. \begin{tabular}{|c|c|} \hline Step & Statement \\ \hline 1 & 3x−10=−163 x-10=-16 \\ \hline 2 & 3x−10+10=−16+103 x-10+10=-16+10 \\ \hline 3 & 3x=−63 x=-6 \\ \hline 4 & 3x3=−63\frac{3 x}{3}=\frac{-6}{3} \\ \hline 5 & x=−2x=-2 \\ \hline \end{tabular}
Use the table to complete each statement.
In step 2, the □\square property of equality was applied. In step 4, the □\square property of equality was applied.

Studdy Solution

STEP 1

1. The problem involves identifying properties of equality used in solving a linear equation.
2. We need to match each step with the correct property of equality.

STEP 2

1. Identify the property of equality used in Step 2.
2. Identify the property of equality used in Step 4.

STEP 3

In Step 2, the equation goes from 3x−10=−16 3x - 10 = -16 to 3x−10+10=−16+10 3x - 10 + 10 = -16 + 10 . This step involves adding the same number (10) to both sides of the equation to maintain equality.
The property of equality applied here is the **Addition Property of Equality**.

STEP 4

In Step 4, the equation goes from 3x=−6 3x = -6 to 3x3=−63 \frac{3x}{3} = \frac{-6}{3} . This step involves dividing both sides of the equation by the same non-zero number (3) to maintain equality.
The property of equality applied here is the **Division Property of Equality**.
The correct answers are: - In step 2, the **Addition** property of equality was applied. - In step 4, the **Division** property of equality was applied.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord