Answered

Expand your knowledge base with the help of IDNLearn.com's extensive answer archive. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

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 subtraction property of equality
C. the division property of equality
D. the addition property of equality

Sagot :

GinnyAnsweridn
To solve the equation \(15x - 8 = 14x + 13\), we follow several steps to isolate the variable \(x\).

First, we want to simplify the equation. We need to eliminate the constant term on the left-hand side (LHS) by performing an operation on both sides of the equation.

Here is the detailed explanation:

### Step 1
The original equation is:
[tex]\[ 15x - 8 = 14x + 13 \][/tex]

To make it simpler, we need to get rid of the \(-8\) on the LHS. We can do this by adding \(8\) to both sides of the equation. By the addition property of equality, if we add the same amount to both sides of an equation, the equality remains the same.

So, we add \(8\) to both sides to get:
[tex]\[ 15x - 8 + 8 = 14x + 13 + 8 \][/tex]

Simplifying this, we have:
[tex]\[ 15x = 14x + 21 \][/tex]

So, the operation performed in Step 1 is the addition of 8 to both sides. The justification for this step is:

D. the addition property of equality
Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your search for answers ends at IDNLearn.com. Thanks for visiting, and we look forward to helping you again soon.