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

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

2x3=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.

2x3=17

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

2x3=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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