Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.