Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Which simplified equation is equivalent to the equation shown below?

[tex]\[ 15x - 5 + x = -47 \][/tex]

A. [tex]\[ 16x - 5 = -47 \][/tex]

B. [tex]\[ 11x = -47 \][/tex]

C. [tex]\[ 14x - 5 = -47 \][/tex]

D. [tex]\[ 21x = -47 \][/tex]

Sagot :

GinnyAnswer
To simplify the original equation and determine which option is equivalent, follow these steps:

1. Combine Like Terms:
The original equation given is:
[tex]\[ 15x - 5 + x = -47 \][/tex]
Combine the terms involving \( x \).

[tex]\[ 15x + x - 5 = -47 \][/tex]

Simplify the expression on the left-hand side:

[tex]\[ (15 + 1)x - 5 = -47 \][/tex]

[tex]\[ 16x - 5 = -47 \][/tex]

2. Write the Simplified Equation:
The simplified equation is:

[tex]\[ 16x - 5 = -47 \][/tex]

3. Compare with Given Choices:
Now, compare the simplified equation with the options provided:

- A: \( 16x - 5 = -47 \)
- B: \( 11x = -47 \)
- C: \( 14x - 5 = -47 \)
- D: \( 21x = -47 \)

The simplified equation \( 16x - 5 = -47 \) matches option A.

Therefore, the correct simplified equation equivalent to the given equation \( 15x - 5 + x = -47 \) is:

[tex]\[ \boxed{16x - 5 = -47} \][/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.