Les solved an equation and his work is shown below. 2x + 8 + 3x = 2 + 5x + 6 5x + 8 = 5x + 8 5x + 8 – 5x = 5x + 8 – 5x 8 = 8 Which of the following is a true statement about the solution to the equation? O A. There is no solution to the equation. B. There is an infinite number of solutions to the equation. O C. The solution to the equation is x. D. There are two solutions to the equation, x and 1.
Les solved an equation and his work is shown below. 2x + 8 + 3x = 2 + 5x + 6 5x + 8 = 5x + 8 5x + 8 – 5x = 5x + 8 – 5x 8 = 8 Which of the following is a true statement about the solution to the equation? O A. There is no solution to the equation. B. There is an infinite number of solutions to the equation. O C. The solution to the equation is x. D. There are two solutions to the equation, x and 1.
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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![Les solved an equation and his work is shown below.
\[2x + 8 + 3x = 2 + 5x + 6\]
\[5x + 8 = 5x + 8\]
\[5x + 8 - 5x = 5x + 8 - 5x\]
\[8 = 8\]
Which of the following is a true statement about the solution to the equation?
- A. There is no solution to the equation.
- B. **There is an infinite number of solutions to the equation.**
- C. The solution to the equation is \(x\).
- D. There are two solutions to the equation, \(x\) and 1.
**Explanation:**
The equation simplifies to \(8 = 8\), which is a true statement irrespective of the value of \(x\). This indicates that the original equation is an identity, true for all values of \(x\). Hence, the equation has an infinite number of solutions, as highlighted by option B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1baf9202-e59e-43c4-a434-dbe99667a408%2F49e4b374-0cee-46a6-8714-edcf31d3999e%2F0uuv9c_processed.png&w=3840&q=75)
Transcribed Image Text:Les solved an equation and his work is shown below.
\[2x + 8 + 3x = 2 + 5x + 6\]
\[5x + 8 = 5x + 8\]
\[5x + 8 - 5x = 5x + 8 - 5x\]
\[8 = 8\]
Which of the following is a true statement about the solution to the equation?
- A. There is no solution to the equation.
- B. **There is an infinite number of solutions to the equation.**
- C. The solution to the equation is \(x\).
- D. There are two solutions to the equation, \(x\) and 1.
**Explanation:**
The equation simplifies to \(8 = 8\), which is a true statement irrespective of the value of \(x\). This indicates that the original equation is an identity, true for all values of \(x\). Hence, the equation has an infinite number of solutions, as highlighted by option B.
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