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

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)
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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**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.
Transcribed Image Text:**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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