What value of x makes this equation true? 0.6z-5 = 0.1a + 7

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 10 of 12**

**What value of x makes this equation true?**

\[0.6x - 5 = 0.1x + 7\]

Options:
- A) 4
- B) 6
- C) 14
- D) 24

[Submit Answer button]

**Explanation:**

This question is from an 8th-grade math quiz asking students to solve a linear equation. Students must determine which value of \(x\) satisfies the equation by isolating \(x\) on one side.

To solve, follow these steps:
1. Subtract \(0.1x\) from both sides: 
   \[0.5x - 5 = 7\]
2. Add 5 to both sides:
   \[0.5x = 12\]
3. Divide by 0.5:
   \[x = 24\]

Thus, the correct answer is option D) 24.
Transcribed Image Text:**Question 10 of 12** **What value of x makes this equation true?** \[0.6x - 5 = 0.1x + 7\] Options: - A) 4 - B) 6 - C) 14 - D) 24 [Submit Answer button] **Explanation:** This question is from an 8th-grade math quiz asking students to solve a linear equation. Students must determine which value of \(x\) satisfies the equation by isolating \(x\) on one side. To solve, follow these steps: 1. Subtract \(0.1x\) from both sides: \[0.5x - 5 = 7\] 2. Add 5 to both sides: \[0.5x = 12\] 3. Divide by 0.5: \[x = 24\] Thus, the correct answer is option D) 24.
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