Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

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 4.9, Problem 12MRE

To determine

To solve the equation.

Expert Solution & Answer

Answer to Problem 12MRE

The solution set of the equation is {11}

Explanation of Solution

Given information:

The given equation is 4(3d−5)=2(5d+1)

Calculation:

First write the original equation

4(3d−5)=2(5d+1)12d−20=10d+2 [distributive property]12d−10d=20+2 [add (−10d+20)each side]2d=22d=11 [divide each side 2]

Therefore,

The solution set of the equation is {11}

Chapter 4.9, Problem 11MRE

Chapter 4.9, Problem 1ST

Chapter 4 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY

Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY