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Math
GeometryElementary Geometry for College Students6th Edition

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Chapter 1.CT, Problem 21CT
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Solutions

Chapter
Section
Problem 1CT
Problem 2CT
Problem 3CT
Problem 4CT
Problem 5CT
Problem 6CT
Problem 7CT
Problem 8CT
Problem 9CT
Problem 10CT
Problem 11CT
Problem 12CT
Problem 13CT
Problem 14CT
Problem 15CT
Problem 16CT
Problem 17CT
Problem 18CT
Problem 19CT
Problem 20CT
Problem 21CT
Problem 22CT
Problem 23CT
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Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

In exercises 20 to 22, complete the missing statements/ reasons for each proof.

Given: 2 x − 3 = 17
Prove: x = 10
PROOF
Statements Reasons
1. _______________ 1. Given
2. _______________ 2. Addition Property of Equality
3. _______________ 3. Division Property of Equality

To determine

To find:

The missing statements/reasons for the each proof.

Explanation

Given:

The given table is shown below.

PROOF
Statements Reasons
1. 1. Given
2. 2. Addition Property of Equality
3. 3. Division Property of Equality

2x−3=17

Properties:

a. The Additive Property of Equality states that if same number is added to both sides of the equation then the sides of the equation remains equal.

b. The Division Property of Equality states that if you divide both sides of an equation by the same nonzero number, the sides remain equal.

Calculation:

The first statement of the proof is given. That is.

2x−3=17

The second statement is of the proof of Addition Property of Equality. So, use Addition Property of Equality in the given equation.

2x−3=172x=17+32x=20…(1)

The third statement is based on Division Property of Equality. Use Addition Property of Equality in the equation (1)

Divide both sides by 2,

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