How many solutions?(Step-by-step to help me, if you can, please.) **Equation Solution Analysis****Question 2:** How many solutions does the equation have? Equation: $3x + 5 = 2x + 5 + x$**Options:**- ○ No solution- ○ One solution- ● Infinitely many solutions**Explanation:**To determine the number of solutions, let's simplify the given equation:1. **Combine like terms on both sides:** - Left side: $3x + 5$ - Right side: $2x + x + 5 = 3x + 5$2. **Resulting equation:** $3x + 5 = 3x + 5$This equation is true for all values of $x$, indicating that every number is a solution. Therefore, it has infinitely many solutions, which is the correct answer marked.

Answered: How many solutions does the equation…

Math

Algebra

How many solutions does the equation have? 3x + 5 = 2x + 5 + x 2 No solution One solution Infintely many solutions

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

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How many solutions?

(Step-by-step to help me, if you can, please.)

**Equation Solution Analysis**

**Question 2:** How many solutions does the equation have?
Equation: $3x + 5 = 2x + 5 + x$

**Options:**

- ○ No solution
- ○ One solution
- ● Infinitely many solutions

**Explanation:**

To determine the number of solutions, let's simplify the given equation:

1. **Combine like terms on both sides:**
- Left side: $3x + 5$
- Right side: $2x + x + 5 = 3x + 5$

2. **Resulting equation:** $3x + 5 = 3x + 5$

This equation is true for all values of $x$, indicating that every number is a solution. Therefore, it has infinitely many solutions, which is the correct answer marked.

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