We appreciate your visit to Which of the following indicates the division property of equality when solving tex 12x 48 tex A tex x frac 1 4 tex B tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the equation [tex]\(-12x = 48\)[/tex] using the division property of equality, we need to understand what this property means. The division property of equality states that if you divide both sides of an equation by the same nonzero number, the equation remains balanced, and the two sides remain equal.
Let's apply this property step by step to solve for [tex]\(x\)[/tex]:
1. Identify the equation:
- We start with the equation [tex]\( -12x = 48 \)[/tex].
2. Determine the number to divide by:
- We need to isolate [tex]\(x\)[/tex], so we'll divide both sides of the equation by [tex]\(-12\)[/tex], the coefficient of [tex]\(x\)[/tex].
3. Apply the division property of equality:
- Divide both sides of the equation by [tex]\(-12\)[/tex]:
[tex]\[
\frac{-12x}{-12} = \frac{48}{-12}
\][/tex]
4. Simplify both sides:
- On the left side, [tex]\(\frac{-12x}{-12}\)[/tex] simplifies to [tex]\(x\)[/tex].
- On the right side, [tex]\(\frac{48}{-12}\)[/tex] simplifies to [tex]\(-4\)[/tex].
5. Conclusion:
- The simplified equation is [tex]\(x = -4\)[/tex].
From the provided choices, option C matches the step where we apply the division property of equality:
C) [tex]\(\frac{-12x}{-12} = \frac{48}{-12}\)[/tex]
So, the answer is choice C, which indicates the division property of equality when solving [tex]\(-12x = 48\)[/tex].
Let's apply this property step by step to solve for [tex]\(x\)[/tex]:
1. Identify the equation:
- We start with the equation [tex]\( -12x = 48 \)[/tex].
2. Determine the number to divide by:
- We need to isolate [tex]\(x\)[/tex], so we'll divide both sides of the equation by [tex]\(-12\)[/tex], the coefficient of [tex]\(x\)[/tex].
3. Apply the division property of equality:
- Divide both sides of the equation by [tex]\(-12\)[/tex]:
[tex]\[
\frac{-12x}{-12} = \frac{48}{-12}
\][/tex]
4. Simplify both sides:
- On the left side, [tex]\(\frac{-12x}{-12}\)[/tex] simplifies to [tex]\(x\)[/tex].
- On the right side, [tex]\(\frac{48}{-12}\)[/tex] simplifies to [tex]\(-4\)[/tex].
5. Conclusion:
- The simplified equation is [tex]\(x = -4\)[/tex].
From the provided choices, option C matches the step where we apply the division property of equality:
C) [tex]\(\frac{-12x}{-12} = \frac{48}{-12}\)[/tex]
So, the answer is choice C, which indicates the division property of equality when solving [tex]\(-12x = 48\)[/tex].
Thanks for taking the time to read Which of the following indicates the division property of equality when solving tex 12x 48 tex A tex x frac 1 4 tex B tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
