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    System of Linear Equations Problems

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    Please see attached for the complete details of the given problems:

    WEEK HOMEWORK
    Please add explanation and colored fonts on your answers

    Page 483, #2

    Solve by graphing. Indicate whether each system is independent, inconsistent, or dependent.

    Page 483, #6

    Solve by graphing. Indicate whether each system is independent, inconsistent, or dependent.

    Page 483, #8

    Solve each system by the substitution method. Indicate whether each system is independent, inconsistent, or dependent.

    Page 483, #10

    Solve each system by the substitution method. Indicate whether each system is independent, inconsistent, or dependent.

    Page 483, #14

    Solve each system by the substitution method. Indicate whether each system is independent, inconsistent, or dependent.

    Page 484, #18

    Solve each system by the addition method. Indicate whether each system is independent, inconsistent, or dependent.

    Page 484, #20

    Solve each system by the addition method. Indicate whether each system is independent, inconsistent, or dependent.

    Page 484, #24

    Solve each system by the addition method. Indicate whether each system is independent, inconsistent, or dependent.

    Page 485, #47

    Perimeter of a rectangle. The length of a rectangular swimming pool is 15 feet longer than the width. If the perimeter is 82 feet, then what are the length and width?

    Page 485, #48

    Household income. Alkena and Hsu together earn $84, 326 per year. If Alkena earns $12,468 more per year than Hsu, then how much does each of them earn per year.

    Individual Textbook Problems

    Page 459, #20

    Solve each system by graphing.

    and

    Page 461, #70

    Solve each system by the substitution method.

    and

    Page 461, #92

    Investing her bonus. Donna invested her $33,000 bonus and received a total of $970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate?

    Page 471, #52

    Solve each system by substitution or addition.

    2y - x = 3
    x = 3y - 5

    Page 472, #72

    Books and magazines. At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a magazine.

    Discussion Questions Day 3

    DQ1: True or False? Explain your answer. The equations y = 3x - 6 and y = 2x + 4 are independent.

    DQ2: Which of the following equations is not equivalent to 2x - 3y = 6?
    1) 3y - 2x = 6
    2)
    3)
    4) 2(x - 5) = 3y - 4

    DQ3: Which of the following equations is inconsistent with the equation 3x + 4y = 8?
    1)
    2) 6x + 8y = 16
    3)
    4) 3x - 4y = 8

    - Discussion Questions Day 5

    DQ1: True or False? Explain your answer. To solve the following system of equations by addition, we can multiply the first equation by 2 and the second by 3 and then add.
    3x - y = 9
    2x + y = 6

    DQ2: True or False? Explain your answer. The solution set to the following system of equations is infinitely many solutions.
    4x - 2y = 20
    -2x + y = -10

    DQ3: What is an inconsistent system? What happens if you attempt to solve such a system by graphing?

    DQ4: When using the addition method, how can you tell if a system of linear equations has infinitely many solutions?

    DQ5: When using the substitution method, how can you tell if a system of linear equations has no solution

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    https://brainmass.com/math/linear-algebra/system-of-linear-equations-problems-256704

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