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Given: Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Step 7: Step 8: Step 9: Step 10: Step 11: 4(x - 1) = 10x + 2 10x+2 = 4(x - 1) 10x+2 = 4x − 4 - 10x+2 − 4x = 4x − 4 − 4 - 10x - 4x + 2 = 4x − 4x - 6x+2= -4 6x+2-2= −4-2 6x+0= -6 6x = - 6 6x (¹) 1x = − 1 x= -1 = - 6 (²)

Given: Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Step 7: Step 8: Step 9: Step 10: Step 11: 4(x - 1) = 10x + 2 10x+2 = 4(x - 1) 10x+2 = 4x − 4 - 10x+2 − 4x = 4x − 4 − 4 - 10x - 4x + 2 = 4x − 4x - 6x+2= -4 6x+2-2= −4-2 6x+0= -6 6x = - 6 6x (¹) 1x = − 1 x= -1 = - 6 (²)

Algebra and Trigonometry (6th Edition)
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

Which property justifies the work between steps 6 and 7?

Distributive Property

Symmetric Property of Equality

Additive Inverse

Reflexive Property of Equality

Transitive Property of Equality

Addition Property of Equality

Given: Step 1: Step 2: Step 3: Step 4: 10x - 4x + 2 = 4x − 4x − - - Step 5: 6x+2= -4 Step 6: 6x+2-2= −4-2 Step 7: 6x+0= -6 Step 8: 6x = -6 Step 9: 6x (¹) 1x = −1 Step 10: Step 11: x= -1 4(x - 1) = 10x + 2 10x+2 = 4(x - 1) 10x+2 = 4x − 4 - 10x+2 − 4x = 4x − 4 − 4. - = - 6 (²)
Transcribed Image Text:Given: Step 1: Step 2: Step 3: Step 4: 10x - 4x + 2 = 4x − 4x − - - Step 5: 6x+2= -4 Step 6: 6x+2-2= −4-2 Step 7: 6x+0= -6 Step 8: 6x = -6 Step 9: 6x (¹) 1x = −1 Step 10: Step 11: x= -1 4(x - 1) = 10x + 2 10x+2 = 4(x - 1) 10x+2 = 4x − 4 - 10x+2 − 4x = 4x − 4 − 4. - = - 6 (²)
Expert Solution
Step 1

The objective is to determine the property that justifies the work between step 6 and 7.

 

 

 

 

Additive Inverse:

When the sum of two real numbers is zero ,then each real number is said to be the additive inverse of the other.

That is, R+(-R)=0, where R is any real number.

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