System of Linear Equations Problems
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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