Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Explore in-depth answers to your questions from a knowledgeable community of experts across different fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Indicate which property is illustrated in step 8.

Step 1: [tex]\(2(x + 4) - 4x = 1 + x\)[/tex]

Step 2: [tex]\(2x + 8 - 4x = 1 + x\)[/tex]

Step 3: [tex]\(8 - 2x = 1 + x\)[/tex]

Step 4: [tex]\(8 - 2x - x = 1 + x - x\)[/tex]

Step 5: [tex]\(8 - 3x = 1\)[/tex]

Step 6: [tex]\(8 - 3x - 8 = 1 - 8\)[/tex]

Step 7: [tex]\(-3x = -7\)[/tex]

Step 8:

Step 9: [tex]\(\frac{-3x}{-8} = \frac{-7}{-8}\)[/tex]

[tex]\(x = \frac{7}{3}\)[/tex]

A. Simplification
B. Distributive property
C. Subtraction property of equality
D. Division property of equality

Sagot :

GinnyAnswer
To identify which property is illustrated in step 8, let's review the steps leading to and including step 8:

Step 1: [tex]\( 2(x+4)-4x=1+x \)[/tex]
Step 2: [tex]\( 2x + 8 - 4x = 1 + x \)[/tex]
Step 3: [tex]\( 8 - 2x = 1 + x \)[/tex]
Step 4: [tex]\( 8 - 2x - x = 1 + x - x \)[/tex]
Step 5: [tex]\( 8 - 3x = 1 \)[/tex]
Step 6: [tex]\( 8 - 3x - 8 = 1 - 8 \)[/tex]
Step 7: [tex]\( -3x = -7 \)[/tex]
Step 8: [tex]\( x = \frac{7}{3} \)[/tex]

In step 8, we solve for [tex]\( x \)[/tex] by dividing both sides of the equation [tex]\( -3x = -7 \)[/tex] by [tex]\(-3\)[/tex]:

[tex]\[ x = \frac{7}{3} \][/tex]

This illustrates the Division property of equality, which states that if you divide both sides of an equation by the same nonzero number, the equality is preserved.

Thus, the correct answer is:

D. Division property of equality
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.