Answered

Discover a world of knowledge and get your questions answered at IDNLearn.com. Our platform is designed to provide accurate and comprehensive answers to any questions you may have.

Select the correct answer.

Henry used these steps to solve an equation:

Step 1: [tex]-3(x+2) = 5(x-7)[/tex]

Step 2: [tex]-3x - 6 = 5x - 35[/tex]

Step 3: [tex]-8x - 6 = -35[/tex]

Step 4: [tex]-8x = -29[/tex]

Step 5: [tex]x = \frac{29}{8}[/tex]

Between which two steps did Henry apply the distributive property?

A. steps 1 and 2

B. steps 2 and 3

C. steps 3 and 4

D. steps 4 and 5

Sagot :

GinnyAnsweridn
To identify between which steps Henry applied the distributive property, let's carefully observe each step:

- Step 1: [tex]\(-3(x+2) = 5(x-7)\)[/tex]
- Step 2: [tex]\(-3x - 6 = 5x - 35\)[/tex]

Henry transformed the equation from Step 1 to Step 2 by distributing [tex]\(-3\)[/tex] over the terms inside the parentheses on the left and [tex]\(5\)[/tex] over the terms inside the parentheses on the right. This results in [tex]\(-3 \cdot x + (-3) \cdot 2 = 5 \cdot x + 5 \cdot (-7)\)[/tex], simplifying to:

[tex]\[ -3x - 6 = 5x - 35 \][/tex]

So, the distributive property was applied between steps 1 and 2. Thus, the correct answer is:

steps 1 and 2
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.