Complete the proof by supplying reasons for each missing step. 2x Given: -4=6 3 Prove: x= 15 1. 2. 2x 4. ²-4=6 3 ²² = 10 3. 2x= 30 x = 15 1. 2. 3. 4.
Complete the proof by supplying reasons for each missing step. 2x Given: -4=6 3 Prove: x= 15 1. 2. 2x 4. ²-4=6 3 ²² = 10 3. 2x= 30 x = 15 1. 2. 3. 4.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![**Question 10**
*Complete the proof by supplying reasons for each missing step.*
**Given:** \(\frac{2x}{3} - 4 = 6\)
**Prove:** \(x = 15\)
| Steps | Statements | Reasons |
|-------|------------|---------|
| 1. | \(\frac{2x}{3} - 4 = 6\) | 1. [Given] |
| 2. | \(\frac{2x}{3} = 10\) | 2. [Add 4 to both sides] |
| 3. | \(2x = 30\) | 3. [Multiply both sides by 3] |
| 4. | \(x = 15\) | 4. [Divide both sides by 2] |](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b26cece-c278-45ea-9cdf-cb0e2593f64f%2Fd7fac19e-cf15-4a5e-a097-7e908bbe9c70%2Fdikpdai_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 10**
*Complete the proof by supplying reasons for each missing step.*
**Given:** \(\frac{2x}{3} - 4 = 6\)
**Prove:** \(x = 15\)
| Steps | Statements | Reasons |
|-------|------------|---------|
| 1. | \(\frac{2x}{3} - 4 = 6\) | 1. [Given] |
| 2. | \(\frac{2x}{3} = 10\) | 2. [Add 4 to both sides] |
| 3. | \(2x = 30\) | 3. [Multiply both sides by 3] |
| 4. | \(x = 15\) | 4. [Divide both sides by 2] |
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