Algebra: Structure And Method, Book 1

(REV)00 Edition

ISBN: 9780395977224

Author: Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher: McDougal Littell

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 3, Problem 31CLR

To determine

To solve the given equation, 12(2x+4)=2x .

Expert Solution & Answer

Answer to Problem 31CLR

x=2

Explanation of Solution

Given:

The equation is

12(2x+4)=2x

Calculation:

12(2x+4)=2x

Multiplying by 2 on both sides, we get

12(2x+4)×2=2x×2⇒2x+4=4x

Subtracting 2x on both sides, we get

2x+4−2x=4x−2x⇒2x=4

Now dividing by 2 on both sides, we get

2x2=42⇒x=2

Chapter 3, Problem 30CLR

Chapter 3, Problem 32CLR

Chapter 3 Solutions

Algebra: Structure And Method, Book 1

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