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High School Math Algebra High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

To explain how the method of substitution differs from the method of elimination. For added convenience, consider the case of system of equations involving only two variables. Method of substitution in the case of linear equations involving only two variables: Given a system of linear equations in two variables: a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 . The method of substitution employs solving one of the equations, say a 1 x + b 1 y = c 1 , to find an algebraic expression for one of its variables, say x . Now, this expression of x is substituted in the other equation a 2 x + b 2 y = c 2 and then solved to find the value of y . The value of y is now substituted in either a 1 x + b 1 y = c 1 or a 2 x + b 2 y = c 2 to find the value of x . Now, the value of x and that of y are recorded to be the solution of the system of equations. Method of elimination in the case of linear equations in two variables: The method of elimination employs the elimination of one variable from the system of equations. Thus, the first step is to determine the variable that is to be eliminated. Then, the equations are multiplied with different non-zero constants and added together in a way so that the targeted variable is eliminated. In some cases, a simple addition would eliminate the variable. But, in general scalar multiplication is needed as said earlier. After finding the value of the non-eliminated variable, it is substituted into any of the equations to find the value of the other one. Comparing and contrasting the methods, the method of substitution is based on substitution and that of elimination is based on elimination. In the method of substitution, unlike eliminating a variable, a variable is isolated from one of the equations. Then, it is substituted into the other equation and solved to find the value of the other variable. Then onwards both the methods follow the same way. The method of substitution involves more steps as compared to the method of elimination. But, it seems like a concrete approach to solve any system of equation.

To explain how the method of substitution differs from the method of elimination. For added convenience, consider the case of system of equations involving only two variables. Method of substitution in the case of linear equations involving only two variables: Given a system of linear equations in two variables: a 1 x + b 1 y = c 1 a 2 x + b 2 y = c 2 . The method of substitution employs solving one of the equations, say a 1 x + b 1 y = c 1 , to find an algebraic expression for one of its variables, say x . Now, this expression of x is substituted in the other equation a 2 x + b 2 y = c 2 and then solved to find the value of y . The value of y is now substituted in either a 1 x + b 1 y = c 1 or a 2 x + b 2 y = c 2 to find the value of x . Now, the value of x and that of y are recorded to be the solution of the system of equations. Method of elimination in the case of linear equations in two variables: The method of elimination employs the elimination of one variable from the system of equations. Thus, the first step is to determine the variable that is to be eliminated. Then, the equations are multiplied with different non-zero constants and added together in a way so that the targeted variable is eliminated. In some cases, a simple addition would eliminate the variable. But, in general scalar multiplication is needed as said earlier. After finding the value of the non-eliminated variable, it is substituted into any of the equations to find the value of the other one. Comparing and contrasting the methods, the method of substitution is based on substitution and that of elimination is based on elimination. In the method of substitution, unlike eliminating a variable, a variable is isolated from one of the equations. Then, it is substituted into the other equation and solved to find the value of the other variable. Then onwards both the methods follow the same way. The method of substitution involves more steps as compared to the method of elimination. But, it seems like a concrete approach to solve any system of equation.

Solution Summary: The author explains the method of substitution and elimination in the case of linear equations involving only two variables.

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

15th Edition

ISBN: 9780133281163

Author: Prentice Hall

Publisher: Prentice Hall

See similar textbooks

Expert Solution & Answer

Chapter 3.2, Problem 8LC

Solution

To explain how the method of substitution differs from the method of elimination.

For added convenience, consider the case of system of equations involving only two variables.

Method of substitution in the case of linear equations involving only two variables:

Given a system of linear equations in two variables:

a1x+b1y=c1a2x+b2y=c2 .

The method of substitution employs solving one of the equations, say a1x+b1y=c1 , to find an algebraic expression for one of its variables, say x .

Now, this expression of x is substituted in the other equation a2x+b2y=c2 and then solved to find the value of y .

The value of y is now substituted in either a1x+b1y=c1 or a2x+b2y=c2 to find the value of x .

Now, the value of x and that of y are recorded to be the solution of the system of equations.

Method of elimination in the case of linear equations in two variables:

The method of elimination employs the elimination of one variable from the system of equations. Thus, the first step is to determine the variable that is to be eliminated. Then, the equations are multiplied with different non-zero constants and added together in a way so that the targeted variable is eliminated. In some cases, a simple addition would eliminate the variable. But, in general scalar multiplication is needed as said earlier.

After finding the value of the non-eliminated variable, it is substituted into any of the equations to find the value of the other one.

Comparing and contrasting the methods, the method of substitution is based on substitution and that of elimination is based on elimination.

In the method of substitution, unlike eliminating a variable, a variable is isolated from one of the equations. Then, it is substituted into the other equation and solved to find the value of the other variable. Then onwards both the methods follow the same way. The method of substitution involves more steps as compared to the method of elimination. But, it seems like a concrete approach to solve any system of equation.

Chapter 3.2, Problem 7LC

Chapter 3.2, Problem 9LC

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 1LC Ch. 3.1 - Prob. 2LC Ch. 3.1 - Prob. 3LC Ch. 3.1 - Prob. 4LC Ch. 3.1 - Prob. 5LC Ch. 3.1 - Prob. 6LC Ch. 3.1 - Prob. 7PPSE Ch. 3.1 - Prob. 8PPSE Ch. 3.1 - Prob. 9PPSE Ch. 3.1 - Prob. 10PPSE

Ch. 3.1 - Prob. 11PPSE Ch. 3.1 - Prob. 12PPSE Ch. 3.1 - Prob. 13PPSE Ch. 3.1 - Prob. 14PPSE Ch. 3.1 - Prob. 15PPSE Ch. 3.1 - Prob. 16PPSE Ch. 3.1 - Prob. 17PPSE Ch. 3.1 - Prob. 18PPSE Ch. 3.1 - Prob. 19PPSE Ch. 3.1 - Prob. 20PPSE Ch. 3.1 - Prob. 21PPSE Ch. 3.1 - Prob. 22PPSE Ch. 3.1 - Prob. 23PPSE Ch. 3.1 - Prob. 24PPSE Ch. 3.1 - Prob. 25PPSE Ch. 3.1 - Prob. 26PPSE Ch. 3.1 - Prob. 27PPSE Ch. 3.1 - Prob. 28PPSE Ch. 3.1 - Prob. 29PPSE Ch. 3.1 - Prob. 30PPSE Ch. 3.1 - Prob. 31PPSE Ch. 3.1 - Prob. 32PPSE Ch. 3.1 - Prob. 33PPSE Ch. 3.1 - Prob. 34PPSE Ch. 3.1 - Prob. 35PPSE Ch. 3.1 - Prob. 36PPSE Ch. 3.1 - Prob. 37PPSE Ch. 3.1 - Prob. 38PPSE Ch. 3.1 - Prob. 39PPSE Ch. 3.1 - Prob. 40PPSE Ch. 3.1 - Prob. 41PPSE Ch. 3.1 - Prob. 42PPSE Ch. 3.1 - Prob. 43PPSE Ch. 3.1 - Prob. 44PPSE Ch. 3.1 - Prob. 45PPSE Ch. 3.1 - Prob. 46PPSE Ch. 3.1 - Prob. 47PPSE Ch. 3.1 - Prob. 48PPSE Ch. 3.1 - Prob. 49PPSE Ch. 3.1 - Prob. 50PPSE Ch. 3.1 - Prob. 51PPSE Ch. 3.1 - Prob. 52PPSE Ch. 3.1 - Prob. 53PPSE Ch. 3.1 - Prob. 54PPSE Ch. 3.1 - Prob. 55PPSE Ch. 3.1 - Prob. 56PPSE Ch. 3.2 - Prob. 1LC Ch. 3.2 - Prob. 2LC Ch. 3.2 - Prob. 3LC Ch. 3.2 - Prob. 4LC Ch. 3.2 - Prob. 5LC Ch. 3.2 - Prob. 6LC Ch. 3.2 - Prob. 7LC Ch. 3.2 - Prob. 8LC Ch. 3.2 - Prob. 9LC Ch. 3.2 - Prob. 10PPSE Ch. 3.2 - Prob. 11PPSE Ch. 3.2 - Prob. 12PPSE Ch. 3.2 - Prob. 13PPSE Ch. 3.2 - Prob. 14PPSE Ch. 3.2 - Prob. 15PPSE Ch. 3.2 - Prob. 16PPSE Ch. 3.2 - Prob. 17PPSE Ch. 3.2 - Prob. 18PPSE Ch. 3.2 - Prob. 19PPSE Ch. 3.2 - Prob. 20PPSE Ch. 3.2 - Prob. 21PPSE Ch. 3.2 - Prob. 22PPSE Ch. 3.2 - Prob. 23PPSE Ch. 3.2 - Prob. 24PPSE Ch. 3.2 - Prob. 25PPSE Ch. 3.2 - Prob. 26PPSE Ch. 3.2 - Prob. 27PPSE Ch. 3.2 - Prob. 28PPSE Ch. 3.2 - Prob. 29PPSE Ch. 3.2 - Prob. 30PPSE Ch. 3.2 - Prob. 31PPSE Ch. 3.2 - Prob. 32PPSE Ch. 3.2 - Prob. 33PPSE Ch. 3.2 - Prob. 34PPSE Ch. 3.2 - Prob. 35PPSE Ch. 3.2 - Prob. 36PPSE Ch. 3.2 - Prob. 37PPSE Ch. 3.2 - Prob. 38PPSE Ch. 3.2 - Prob. 39PPSE Ch. 3.2 - Prob. 40PPSE Ch. 3.2 - Prob. 41PPSE Ch. 3.2 - Prob. 42PPSE Ch. 3.2 - Prob. 43PPSE Ch. 3.2 - Prob. 44PPSE Ch. 3.2 - Prob. 45PPSE Ch. 3.2 - Prob. 46PPSE Ch. 3.2 - Prob. 47PPSE Ch. 3.2 - Prob. 48PPSE Ch. 3.2 - Prob. 49PPSE Ch. 3.2 - Prob. 50PPSE Ch. 3.2 - Prob. 51PPSE Ch. 3.2 - Prob. 52PPSE Ch. 3.2 - Prob. 53PPSE Ch. 3.2 - Prob. 54PPSE Ch. 3.2 - Prob. 55PPSE Ch. 3.2 - Prob. 56PPSE Ch. 3.2 - Prob. 57PPSE Ch. 3.2 - Prob. 58PPSE Ch. 3.2 - Prob. 59PPSE Ch. 3.2 - Prob. 60PPSE Ch. 3.2 - Prob. 61PPSE Ch. 3.2 - Prob. 62PPSE Ch. 3.2 - Prob. 63PPSE Ch. 3.2 - Prob. 64PPSE Ch. 3.2 - Prob. 65PPSE Ch. 3.2 - Prob. 66PPSE Ch. 3.2 - Prob. 67PPSE Ch. 3.2 - Prob. 68PPSE Ch. 3.2 - Prob. 69PPSE Ch. 3.2 - Prob. 70PPSE Ch. 3.2 - Prob. 71PPSE Ch. 3.3 - Prob. 1LC Ch. 3.3 - Prob. 2LC Ch. 3.3 - Prob. 3LC Ch. 3.3 - Prob. 4LC Ch. 3.3 - Prob. 5LC Ch. 3.3 - Prob. 6LC Ch. 3.3 - Prob. 7LC Ch. 3.3 - Prob. 8PPSE Ch. 3.3 - Prob. 9PPSE Ch. 3.3 - Prob. 10PPSE Ch. 3.3 - Prob. 11PPSE Ch. 3.3 - Prob. 12PPSE Ch. 3.3 - Prob. 13PPSE Ch. 3.3 - Prob. 14PPSE Ch. 3.3 - Prob. 15PPSE Ch. 3.3 - Prob. 16PPSE Ch. 3.3 - Prob. 17PPSE Ch. 3.3 - Prob. 18PPSE Ch. 3.3 - Prob. 19PPSE Ch. 3.3 - Prob. 20PPSE Ch. 3.3 - Prob. 21PPSE Ch. 3.3 - Prob. 22PPSE Ch. 3.3 - Prob. 23PPSE Ch. 3.3 - Prob. 24PPSE Ch. 3.3 - Prob. 25PPSE Ch. 3.3 - Prob. 26PPSE Ch. 3.3 - Prob. 27PPSE Ch. 3.3 - Prob. 28PPSE Ch. 3.3 - Prob. 29PPSE Ch. 3.3 - Prob. 30PPSE Ch. 3.3 - Prob. 31PPSE Ch. 3.3 - Prob. 32PPSE Ch. 3.3 - Prob. 33PPSE Ch. 3.3 - Prob. 34PPSE Ch. 3.3 - Prob. 35PPSE Ch. 3.3 - Prob. 36PPSE Ch. 3.3 - Prob. 37PPSE Ch. 3.3 - Prob. 38PPSE Ch. 3.3 - Prob. 39PPSE Ch. 3.3 - Prob. 40PPSE Ch. 3.3 - Prob. 41PPSE Ch. 3.3 - Prob. 42PPSE Ch. 3.3 - Prob. 43PPSE Ch. 3.3 - Prob. 44PPSE Ch. 3.3 - Prob. 45PPSE Ch. 3.3 - Prob. 46PPSE Ch. 3.3 - Prob. 47PPSE Ch. 3.3 - Prob. 48PPSE Ch. 3.3 - Prob. 49PPSE Ch. 3.3 - Prob. 50PPSE Ch. 3.3 - Prob. 51PPSE Ch. 3.3 - Prob. 52PPSE Ch. 3.3 - Prob. 53PPSE Ch. 3.3 - Prob. 54PPSE Ch. 3.3 - Prob. 55PPSE Ch. 3.3 - Prob. 56PPSE Ch. 3.3 - Prob. 57PPSE Ch. 3.3 - Prob. 58PPSE Ch. 3.3 - Prob. 59PPSE Ch. 3.3 - Prob. 60PPSE Ch. 3.3 - Prob. 61PPSE Ch. 3.3 - Prob. 62PPSE Ch. 3.3 - Prob. 63PPSE Ch. 3.3 - Prob. 64PPSE Ch. 3.3 - Prob. 65PPSE Ch. 3.3 - Prob. 66PPSE Ch. 3.3 - Prob. 67PPSE Ch. 3.3 - Prob. 68PPSE Ch. 3.3 - Prob. 69PPSE Ch. 3.3 - Prob. 70PPSE Ch. 3.3 - Prob. 71PPSE Ch. 3.3 - Prob. 72PPSE Ch. 3.4 - Prob. 1LC Ch. 3.4 - Prob. 2LC Ch. 3.4 - Prob. 3LC Ch. 3.4 - Prob. 4LC Ch. 3.4 - Prob. 5LC Ch. 3.4 - Prob. 6LC Ch. 3.4 - Prob. 7LC Ch. 3.4 - Prob. 8LC Ch. 3.4 - Prob. 9LC Ch. 3.4 - Prob. 10PPSE Ch. 3.4 - Prob. 11PPSE Ch. 3.4 - Prob. 12PPSE Ch. 3.4 - Prob. 13PPSE Ch. 3.4 - Prob. 14PPSE Ch. 3.4 - Prob. 15PPSE Ch. 3.4 - Prob. 16PPSE Ch. 3.4 - Prob. 17PPSE Ch. 3.4 - Prob. 18PPSE Ch. 3.4 - Prob. 19PPSE Ch. 3.4 - Prob. 20PPSE Ch. 3.4 - Prob. 21PPSE Ch. 3.4 - Prob. 22PPSE Ch. 3.4 - Prob. 23PPSE Ch. 3.4 - Prob. 24PPSE Ch. 3.4 - Prob. 25PPSE Ch. 3.4 - Prob. 26PPSE Ch. 3.4 - Prob. 27PPSE Ch. 3.4 - Prob. 28PPSE Ch. 3.4 - Prob. 29PPSE Ch. 3.4 - Prob. 30PPSE Ch. 3.4 - Prob. 31PPSE Ch. 3.4 - Prob. 32PPSE Ch. 3.4 - Prob. 33PPSE Ch. 3.4 - Prob. 34PPSE Ch. 3.4 - Prob. 35PPSE Ch. 3.4 - Prob. 36PPSE Ch. 3.4 - Prob. 37PPSE Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.5 - Prob. 1A Ch. 3.5 - Prob. 2A Ch. 3.5 - Prob. 3A Ch. 3.5 - Prob. 4A Ch. 3.5 - Prob. 5A Ch. 3.5 - Prob. 6A Ch. 3.5 - Prob. 7A Ch. 3.5 - Prob. 8A Ch. 3.5 - Prob. 9A Ch. 3.5 - Prob. 10A Ch. 3.5 - Prob. 11A Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 1LC Ch. 3.5 - Prob. 2LC Ch. 3.5 - Prob. 3LC Ch. 3.5 - Prob. 4LC Ch. 3.5 - Prob. 5LC Ch. 3.5 - Prob. 6LC Ch. 3.5 - Prob. 7LC Ch. 3.5 - Prob. 8LC Ch. 3.5 - Prob. 9PPSE Ch. 3.5 - Prob. 10PPSE Ch. 3.5 - Prob. 11PPSE Ch. 3.5 - Prob. 12PPSE Ch. 3.5 - Prob. 13PPSE Ch. 3.5 - Prob. 14PPSE Ch. 3.5 - Prob. 15PPSE Ch. 3.5 - Prob. 16PPSE Ch. 3.5 - Prob. 17PPSE Ch. 3.5 - Prob. 18PPSE Ch. 3.5 - Prob. 19PPSE Ch. 3.5 - Prob. 20PPSE Ch. 3.5 - Prob. 21PPSE Ch. 3.5 - Prob. 22PPSE Ch. 3.5 - Prob. 23PPSE Ch. 3.5 - Prob. 24PPSE Ch. 3.5 - Prob. 25PPSE Ch. 3.5 - Prob. 26PPSE Ch. 3.5 - Prob. 27PPSE Ch. 3.5 - Prob. 28PPSE Ch. 3.5 - Prob. 29PPSE Ch. 3.5 - Prob. 30PPSE Ch. 3.5 - Prob. 31PPSE Ch. 3.5 - Prob. 32PPSE Ch. 3.5 - Prob. 33PPSE Ch. 3.5 - Prob. 34PPSE Ch. 3.5 - Prob. 35PPSE Ch. 3.5 - Prob. 36PPSE Ch. 3.5 - Prob. 37PPSE Ch. 3.5 - Prob. 38PPSE Ch. 3.5 - Prob. 39PPSE Ch. 3.5 - Prob. 40PPSE Ch. 3.5 - Prob. 41PPSE Ch. 3.5 - Prob. 42PPSE Ch. 3.5 - Prob. 43PPSE Ch. 3.5 - Prob. 44PPSE Ch. 3.5 - Prob. 45PPSE Ch. 3.6 - Prob. 1LC Ch. 3.6 - Prob. 2LC Ch. 3.6 - Prob. 3LC Ch. 3.6 - Prob. 4LC Ch. 3.6 - Prob. 5LC Ch. 3.6 - Prob. 6LC Ch. 3.6 - Prob. 7LC Ch. 3.6 - Prob. 8PPSE Ch. 3.6 - Prob. 9PPSE Ch. 3.6 - Prob. 10PPSE Ch. 3.6 - Prob. 11PPSE Ch. 3.6 - Prob. 12PPSE Ch. 3.6 - Prob. 13PPSE Ch. 3.6 - Prob. 14PPSE Ch. 3.6 - Prob. 15PPSE Ch. 3.6 - Prob. 16PPSE Ch. 3.6 - Prob. 17PPSE Ch. 3.6 - Prob. 18PPSE Ch. 3.6 - Prob. 19PPSE Ch. 3.6 - Prob. 20PPSE Ch. 3.6 - Prob. 21PPSE Ch. 3.6 - Prob. 22PPSE Ch. 3.6 - Prob. 23PPSE Ch. 3.6 - Prob. 24PPSE Ch. 3.6 - Prob. 25PPSE Ch. 3.6 - Prob. 26PPSE Ch. 3.6 - Prob. 27PPSE Ch. 3.6 - Prob. 28PPSE Ch. 3.6 - Prob. 29PPSE Ch. 3.6 - Prob. 30PPSE Ch. 3.6 - Prob. 31PPSE Ch. 3.6 - Prob. 32PPSE Ch. 3.6 - Prob. 33PPSE Ch. 3.6 - Prob. 34PPSE Ch. 3.6 - Prob. 35PPSE Ch. 3.6 - Prob. 36PPSE Ch. 3.6 - Prob. 37PPSE Ch. 3.6 - Prob. 38PPSE Ch. 3.6 - Prob. 39PPSE Ch. 3.6 - Prob. 40PPSE Ch. 3.6 - Prob. 41PPSE Ch. 3.6 - Prob. 42PPSE Ch. 3.6 - Prob. 43PPSE Ch. 3.6 - Prob. 44PPSE Ch. 3.6 - Prob. 45PPSE Ch. 3.6 - Prob. 46PPSE Ch. 3.6 - Prob. 47PPSE Ch. 3.6 - Prob. 48PPSE Ch. 3.6 - Prob. 49PPSE Ch. 3.6 - Prob. 50PPSE Ch. 3.6 - Prob. 51PPSE Ch. 3.6 - Prob. 52PPSE Ch. 3.6 - Prob. 53PPSE Ch. 3.6 - Prob. 54PPSE Ch. 3.6 - Prob. 55PPSE Ch. 3.6 - Prob. 56PPSE Ch. 3.6 - Prob. 57PPSE Ch. 3.6 - Prob. 58PPSE Ch. 3 - Prob. 1GR Ch. 3 - Prob. 2GR Ch. 3 - Prob. 3GR Ch. 3 - Prob. 4GR Ch. 3 - Prob. 5GR Ch. 3 - Prob. 6GR Ch. 3 - Prob. 7GR Ch. 3 - Prob. 8GR Ch. 3 - Prob. 9GR Ch. 3 - Prob. 10GR Ch. 3 - Prob. 11GR Ch. 3 - Prob. 12GR Ch. 3 - Prob. 13GR Ch. 3 - Prob. 14GR Ch. 3 - Prob. 15GR Ch. 3 - Prob. 16GR Ch. 3 - Prob. 17GR Ch. 3 - Prob. 18GR Ch. 3 - Prob. 19GR Ch. 3 - Prob. 20GR Ch. 3 - Prob. 21GR Ch. 3 - Prob. 22GR Ch. 3 - Prob. 23GR Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 1CV Ch. 3 - Prob. 2CV Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Prob. 8E Ch. 3 - Prob. 9E Ch. 3 - Prob. 10E Ch. 3 - Prob. 11E Ch. 3 - Prob. 12E Ch. 3 - Prob. 13E Ch. 3 - Prob. 14E Ch. 3 - Prob. 15E Ch. 3 - Prob. 16E Ch. 3 - Prob. 17E Ch. 3 - Prob. 18E Ch. 3 - Prob. 19E Ch. 3 - Prob. 20E Ch. 3 - Prob. 21E Ch. 3 - Prob. 22E Ch. 3 - Prob. 23E Ch. 3 - Prob. 24E Ch. 3 - Prob. 25E Ch. 3 - Prob. 26E Ch. 3 - Prob. 27E Ch. 3 - Prob. 28E Ch. 3 - Prob. 29E Ch. 3 - Prob. 30E Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 1CCSR Ch. 3 - Prob. 2CCSR Ch. 3 - Prob. 3CCSR Ch. 3 - Prob. 4CCSR Ch. 3 - Prob. 5CCSR Ch. 3 - Prob. 6CCSR Ch. 3 - Prob. 7CCSR Ch. 3 - Prob. 8CCSR Ch. 3 - Prob. 9CCSR Ch. 3 - Prob. 10CCSR Ch. 3 - Prob. 11CCSR Ch. 3 - Prob. 12CCSR Ch. 3 - Prob. 13CCSR Ch. 3 - Prob. 14CCSR Ch. 3 - Prob. 15CCSR Ch. 3 - Prob. 16CCSR Ch. 3 - Prob. 17CCSR Ch. 3 - Prob. 18CCSR Ch. 3 - Prob. 19CCSR Ch. 3 - Prob. 20CCSR Ch. 3 - Prob. 21CCSR Ch. 3 - Prob. 22CCSR Ch. 3 - Prob. 23CCSR

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