Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Select the correct answer.

What is the justification for step 1 in the solution process?

[tex]\[ 15x - 8 = 14x + 13 \][/tex]

Step 1: [tex]\( 15x = 14x + 21 \)[/tex]

A. the multiplication property of equality
B. the addition property of equality
C. the division property of equality
D. the subtraction property of equality

Sagot :

GinnyAnswer
To solve the equation [tex]\(15x - 8 = 14x + 13\)[/tex], let's consider Step 1: [tex]\(15x = 14x + 21\)[/tex].

In step 1, we need to understand how we went from [tex]\(15x - 8 = 14x + 13\)[/tex] to [tex]\(15x = 14x + 21\)[/tex].

Let's look at what was done in detail:
1. We noticed the need to isolate the terms involving [tex]\(x\)[/tex] and the constants.
2. To simplify the equation, we moved the [tex]\(-8\)[/tex] from the left side to the right side. This would be achieved by adding 8 to both sides of the equation to maintain equality:
[tex]\[ 15x - 8 + 8 = 14x + 13 + 8 \][/tex]
Simplifying this:
[tex]\[ 15x = 14x + 21 \][/tex]

Therefore, the justification for Step 1, moving [tex]\(-8\)[/tex] to the right side of the equation and resulting in [tex]\(15x = 14x + 21\)[/tex], follows the addition property of equality.

Thus, the correct answer is:
B. the addition property of equality.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.