Given: Step 1: Step 2: 4(x - 1) = 10x + 2 10x+2 = 4(x - 1) 10x + 2 = 4x-4

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.4: Powers Of Monimials
Problem 42WE
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Which property justifies the work between steps 1 and 2?

Reflexive Property of Equality

Addition Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Additive Inverse

Distributive Property

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)
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