Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Select the correct answer.

Which equation is equivalent to the given equation?

[tex]\( 7m + 11 = -4(2m + 3) \)[/tex]

A. [tex]\(-m = 1\)[/tex]

B. [tex]\(15m = -23\)[/tex]

C. [tex]\(-m = -1\)[/tex]

D. [tex]\(-15m = -23\)[/tex]

Sagot :

GinnyAnswer
To determine which equation is equivalent to the given equation:
[tex]\[ 7m + 11 = -4(2m + 3) \][/tex]

we can follow these steps to simplify and solve the equation:

1. Distribute the [tex]\(-4\)[/tex] on the right side of the equation:
[tex]\[ 7m + 11 = -4 \cdot 2m - 4 \cdot 3 \][/tex]
This simplifies to:
[tex]\[ 7m + 11 = -8m - 12 \][/tex]

2. Move all terms involving [tex]\(m\)[/tex] to the left side and constant terms to the right side:
[tex]\[ 7m + 8m = -12 - 11 \][/tex]

3. Combine like terms:
[tex]\[ 15m = -23 \][/tex]

Thus, the simplified equation is:
[tex]\[ 15m = -23 \][/tex]

So the correct answer is:
[tex]\[ \boxed{15m = -23} \][/tex]

This matches option B.
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.