Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Consider the equation [tex]3p - 7 + p = 13[/tex]. What is the resulting equation after the first step in the solution?

A. [tex]p - 7 = 13 - 3p[/tex]
B. [tex]2p - 7 = 13[/tex]
C. [tex]3p - 7 = 13 - p[/tex]
D. [tex]4p - 7 = 13[/tex]

Sagot :

GinnyAnswer
To solve the equation [tex]\(3p - 7 + p = 13\)[/tex], the first step is to combine like terms on the left side of the equation. Here are the detailed steps:

1. Look at the left-hand side of the equation: [tex]\(3p - 7 + p\)[/tex].
2. Combine the terms that contain the variable [tex]\(p\)[/tex].

[tex]\[3p + p - 7\][/tex]

3. Add the coefficients of [tex]\(p\)[/tex]:

[tex]\[3p + p = 4p\][/tex]

4. Substitute back the combined terms into the equation:

[tex]\[4p - 7 = 13\][/tex]

Thus, the resulting equation after the first step in the solution is:

[tex]\[4p - 7 = 13\][/tex]

So, the correct choice is:

[tex]\[4p - 7 = 13\][/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.