Beginning and Intermediate Algebra
6th Edition
ISBN: 9781260673531
Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 4.3, Problem 10PE
For Exercises 10-24, solve each system using the addition method. (See Example 1–4.)
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An important application of systems of equations arises in
connection with supply and demand. As the price of a product
increases, the demand for that product decreases. However, at
higher prices, suppliers are willing to produce greater quantities of
the product. Exercises 97–98 involve supply and demand.
97. A chain of electronics stores sells hand-held color
televisions. The weekly demand and supply models are
given as follows:
Number sold
Demand model
per week
N = -5p + 750
Price of television
Number supplied to
the chain per week N = 2.5p.
1apow hjddns
a. How many hand-held color televisions can be sold and
supplied at $120 per television?
b. Find the price at which supply and demand are equal. At
this price, how many televisions can be supplied and sold
each week?
For Exercises 15–22, solve the system by using the addition method. (See Examples 3-4)
15. 2x + 3y = 11
16. 3x + y² = 21
17.
x - xy = 20
18. 4xy + 3y² = -9
2 + 4y = 8
4x - 2y = -2
-2x2 + 3xy = -44
2xy + y = -5
21. x = 1- y
9x - 4y? = 36
19. 5x - 2y2 = 1
20. 6x + 5y = 38
7x - 3y = 9
22. 4x = 4 - y?
16y = 144 + 9x?
2x - 3y = -4
Which of the following methods does one use for solving a system of linear equations?
Chapter 4 Solutions
Beginning and Intermediate Algebra
Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Determine whether the ordered paired is a solution...Ch. 4.1 - Solve the system by the graphing method. y = − 3 x...Ch. 4.1 - Solve the system by the graphing method. y = 2 x −...Ch. 4.1 - Solve the system by the graphing.
5.
Ch. 4.1 - Solve the system by the graphing.
6.
Ch. 4.1 - a. A______ of linear equations consists of two or...Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 3PECh. 4.1 - Prob. 4PE
Ch. 4.1 - For Exercises 2-10, determine if the given point...Ch. 4.1 - Prob. 6PECh. 4.1 - Prob. 7PECh. 4.1 - Prob. 8PECh. 4.1 - Prob. 9PECh. 4.1 - Prob. 10PECh. 4.1 - For Exercises 11-14, match the graph of the system...Ch. 4.1 - Prob. 12PECh. 4.1 - Prob. 13PECh. 4.1 - For Exercises 11-14, match the graph of the system...Ch. 4.1 - Prob. 15PECh. 4.1 - Prob. 16PECh. 4.1 - Prob. 17PECh. 4.1 - Prob. 18PECh. 4.1 - Prob. 19PECh. 4.1 - Prob. 20PECh. 4.1 - For Exercises 16-26, determine which system of...Ch. 4.1 - Prob. 22PECh. 4.1 - Prob. 23PECh. 4.1 - Prob. 24PECh. 4.1 - Prob. 25PECh. 4.1 - Prob. 26PECh. 4.1 - Prob. 27PECh. 4.1 - Prob. 28PECh. 4.1 - For Exercises 27-50, solve the system by graphing....Ch. 4.1 - Prob. 30PECh. 4.1 - Prob. 31PECh. 4.1 - Prob. 32PECh. 4.1 - Prob. 33PECh. 4.1 - Prob. 34PECh. 4.1 - Prob. 35PECh. 4.1 - Prob. 36PECh. 4.1 - Prob. 37PECh. 4.1 - Prob. 38PECh. 4.1 - Prob. 39PECh. 4.1 - Prob. 40PECh. 4.1 - Prob. 41PECh. 4.1 - Prob. 42PECh. 4.1 - Prob. 43PECh. 4.1 - Prob. 44PECh. 4.1 - Prob. 45PECh. 4.1 - Prob. 46PECh. 4.1 - Prob. 47PECh. 4.1 - Prob. 48PECh. 4.1 - Prob. 49PECh. 4.1 - Prob. 50PECh. 4.1 - Prob. 51PECh. 4.1 - The cost to rent a 10 ft by 10 ft storage space is...Ch. 4.1 - For the systems graphed in Exercises 53-54,...Ch. 4.1 - For the systems graphed in Exercises 53-54,...Ch. 4.1 - Prob. 55PECh. 4.1 - Prob. 56PECh. 4.1 - Prob. 57PECh. 4.1 - Prob. 58PECh. 4.1 - Prob. 59PECh. 4.1 - Prob. 60PECh. 4.1 - Prob. 61PECh. 4.1 - Prob. 62PECh. 4.1 - One equation in a system of linear equations is x...Ch. 4.1 - Prob. 64PECh. 4.2 - Solve the system by using the substitution method....Ch. 4.2 - Prob. 2SPCh. 4.2 - Prob. 3SPCh. 4.2 - Prob. 4SPCh. 4.2 - Prob. 5SPCh. 4.2 - One number is 16 more than another. Their sum is...Ch. 4.2 - Prob. 7SPCh. 4.2 - Prob. 1PECh. 4.2 - Prob. 2PECh. 4.2 - Prob. 3PECh. 4.2 - Prob. 4PECh. 4.2 - Given the system: 4 x − 2 y = − 6 3 x + y...Ch. 4.2 - Prob. 6PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 8PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 10PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 12PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 14PECh. 4.2 - Prob. 15PECh. 4.2 - Prob. 16PECh. 4.2 - Prob. 17PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 19PECh. 4.2 - Prob. 20PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 22PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 25PECh. 4.2 - Prob. 26PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 29PECh. 4.2 - Prob. 30PECh. 4.2 - Prob. 31PECh. 4.2 - Prob. 32PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 36PECh. 4.2 - Prob. 37PECh. 4.2 - Prob. 38PECh. 4.2 - Prob. 39PECh. 4.2 - Prob. 40PECh. 4.2 - Prob. 41PECh. 4.2 - For Exercises 13-48, solve the system by using the...Ch. 4.2 - Prob. 43PECh. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - For Exercises 49-58, set up a system of linear...Ch. 4.2 - Prob. 51PECh. 4.2 - Prob. 52PECh. 4.2 - Prob. 53PECh. 4.2 - Prob. 54PECh. 4.3 - Solve the system by using the addition method. x +...Ch. 4.3 - Solve the system by using the addition method. 4 x...Ch. 4.3 - Prob. 3SPCh. 4.3 - Solve the system by using the addition method. 15...Ch. 4.3 - Solve the system by using the addition method. 2 3...Ch. 4.3 - Solve the system by using the addition method. 3 x...Ch. 4.3 - Prob. 1PECh. 4.3 - Prob. 2PECh. 4.3 - Prob. 3PECh. 4.3 - Prob. 4PECh. 4.3 - Prob. 5PECh. 4.3 - For Exercises 6-7, answer as true or false. Given...Ch. 4.3 - Prob. 7PECh. 4.3 - Given the system 3 x − 4 y = 2 17 x + y = 35 a....Ch. 4.3 - 9. Given the system
a. Which variable, x or y, is...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - Prob. 22PECh. 4.3 - Prob. 23PECh. 4.3 - For Exercises 10-24, solve each system using the...Ch. 4.3 - Prob. 25PECh. 4.3 - Prob. 26PECh. 4.3 - Prob. 27PECh. 4.3 - Prob. 28PECh. 4.3 - Prob. 29PECh. 4.3 - 30. Suppose in solving a system of linear...Ch. 4.3 - For Exercises 31-42, solve the system by using the...Ch. 4.3 - Prob. 32PECh. 4.3 - Prob. 33PECh. 4.3 - Prob. 34PECh. 4.3 - Prob. 35PECh. 4.3 - Prob. 36PECh. 4.3 - Prob. 37PECh. 4.3 - Prob. 38PECh. 4.3 - Prob. 39PECh. 4.3 - Prob. 40PECh. 4.3 - Prob. 41PECh. 4.3 - Prob. 42PECh. 4.3 - Prob. 43PECh. 4.3 - Prob. 44PECh. 4.3 - Prob. 45PECh. 4.3 - Prob. 46PECh. 4.3 - Prob. 47PECh. 4.3 - Prob. 48PECh. 4.3 - Prob. 49PECh. 4.3 - Prob. 50PECh. 4.3 - Prob. 51PECh. 4.3 - Prob. 52PECh. 4.3 - Prob. 53PECh. 4.3 - Prob. 54PECh. 4.3 - Prob. 55PECh. 4.3 - Prob. 56PECh. 4.3 - For Exercises 43-63, solve each system of...Ch. 4.3 - Prob. 58PECh. 4.3 - Prob. 59PECh. 4.3 - Prob. 60PECh. 4.3 - Prob. 61PECh. 4.3 - Prob. 62PECh. 4.3 - Prob. 63PECh. 4.3 - Prob. 64PECh. 4.3 - Prob. 65PECh. 4.3 - Prob. 66PECh. 4.3 - Prob. 67PECh. 4.3 - Prob. 68PECh. 4.3 - Prob. 69PECh. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - For Exercises 70-72, solve the system by using...Ch. 4.3 - 73. Explain why a system of linear equations...Ch. 4.3 - Prob. 74PECh. 4.3 - Prob. 75PECh. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - Prob. 3PRECh. 4.3 - Prob. 4PRECh. 4.3 - Prob. 5PRECh. 4.3 - For Exercises 1–6 determine the number of...Ch. 4.3 - For Exercises 7–10, a method of solving has been...Ch. 4.3 - For Exercises 7–10, a method of solving has been...Ch. 4.3 - Prob. 9PRECh. 4.3 - Prob. 10PRECh. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - Prob. 13PRECh. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - For Exercises 11–30, solve each system using the...Ch. 4.3 - Prob. 23PRECh. 4.3 - Prob. 24PRECh. 4.3 - Prob. 25PRECh. 4.3 - Prob. 26PRECh. 4.3 - Prob. 27PRECh. 4.3 - Prob. 28PRECh. 4.3 - Prob. 29PRECh. 4.3 - Prob. 30PRECh. 4.4 - 1. Lynn went to a fast-food restaurant and spent...Ch. 4.4 - Prob. 2SPCh. 4.4 - Prob. 3SPCh. 4.4 - Prob. 4SPCh. 4.4 - Prob. 1PECh. 4.4 - Prob. 2PECh. 4.4 - Prob. 3PECh. 4.4 - Prob. 4PECh. 4.4 - Prob. 5PECh. 4.4 - Foe Exercises 5-8, set up a system of linear...Ch. 4.4 - Prob. 7PECh. 4.4 - Prob. 8PECh. 4.4 - 9. An online store sells old video games and DVDs...Ch. 4.4 - Tanya bought three adult tickets and one...Ch. 4.4 - 11. Nora bought 100 shares of a technology stock...Ch. 4.4 - 12. Eight students in Ms. Reese’s class decided to...Ch. 4.4 - Prob. 13PECh. 4.4 - Zoey purchased some beef and some chicken for a...Ch. 4.4 - 15. Shanelle invested $10,000, and at the end of 1...Ch. 4.4 - Prob. 16PECh. 4.4 - Prob. 17PECh. 4.4 - 18. Blake has a total of $4000 to invest in two...Ch. 4.4 - Prob. 19PECh. 4.4 - Prob. 20PECh. 4.4 - How much 50% disinfectant solution must be mixed...Ch. 4.4 - Prob. 22PECh. 4.4 - 23. How much 45% disinfectant solution must be...Ch. 4.4 - Prob. 24PECh. 4.4 - Prob. 25PECh. 4.4 - Prob. 26PECh. 4.4 - Prob. 27PECh. 4.4 - Silvia wants to mix a 40% apple juice drink with...Ch. 4.4 - Prob. 29PECh. 4.4 - Prob. 30PECh. 4.4 - Prob. 31PECh. 4.4 - A plane flies 720 mi with the wind in 3 hr. The...Ch. 4.4 - Prob. 33PECh. 4.4 - Prob. 34PECh. 4.4 - Debi has $2.80 in a collection of dimes and...Ch. 4.4 - Prob. 36PECh. 4.4 - Prob. 37PECh. 4.4 - Prob. 38PECh. 4.4 - In the 1961–1962 NBA basketball season, Wilt...Ch. 4.4 - 40. In the 1971–1972 NBA basketball season, Kareem...Ch. 4.4 - Prob. 41PECh. 4.4 - Prob. 42PECh. 4.4 - A total of $60,000 is invested in two accounts,...Ch. 4.4 - Prob. 44PECh. 4.4 - Prob. 45PECh. 4.4 - Prob. 46PECh. 4.4 - Prob. 47PECh. 4.4 - Prob. 48PECh. 4.4 - Prob. 49PECh. 4.4 - Prob. 50PECh. 4.5 - Solve the system. x + 2 y + z = 1 3 x − y + 2 z =...Ch. 4.5 - Prob. 2SPCh. 4.5 - Prob. 3SPCh. 4.5 - Prob. 4SPCh. 4.5 - Prob. 1PECh. 4.5 - Prob. 2PECh. 4.5 - Which of the following points are solutions to the...Ch. 4.5 - Prob. 4PECh. 4.5 - Prob. 5PECh. 4.5 - Prob. 6PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 9PECh. 4.5 - Prob. 10PECh. 4.5 - Prob. 11PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 13PECh. 4.5 - Prob. 14PECh. 4.5 - Prob. 15PECh. 4.5 - Prob. 16PECh. 4.5 - Prob. 17PECh. 4.5 - Prob. 18PECh. 4.5 - Prob. 19PECh. 4.5 - Prob. 20PECh. 4.5 - Prob. 21PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 27PECh. 4.5 - Prob. 28PECh. 4.5 - For Exercises 11–34, solve the system of...Ch. 4.5 - Prob. 30PECh. 4.5 - Prob. 31PECh. 4.5 - Prob. 32PECh. 4.5 - Prob. 33PECh. 4.5 - Prob. 34PECh. 4.5 - Prob. 35PECh. 4.5 - Prob. 36PECh. 4.5 - Prob. 37PECh. 4.5 - Prob. 38PECh. 4.5 - For Exercises 35–46, solve the system. If there is...Ch. 4.5 - Prob. 40PECh. 4.5 - Prob. 41PECh. 4.5 - Prob. 42PECh. 4.5 - Prob. 43PECh. 4.5 - Prob. 44PECh. 4.5 - Prob. 45PECh. 4.5 - Prob. 46PECh. 4.6 - 1. The perimeter of a triangle is 30 in. The...Ch. 4.6 - Annette, Barb, and Carlita work in a clothing...Ch. 4.6 - Prob. 1PECh. 4.6 - Prob. 2PECh. 4.6 - One angle of a triangle measures 6° more than...Ch. 4.6 - Prob. 4PECh. 4.6 - Prob. 5PECh. 4.6 - 10. The perimeter of a triangle is 5 ft. The...Ch. 4.6 - Prob. 7PECh. 4.6 - Prob. 8PECh. 4.6 - Prob. 9PECh. 4.6 - Prob. 10PECh. 4.6 - Prob. 11PECh. 4.6 - Prob. 12PECh. 4.6 - Prob. 13PECh. 4.6 - Prob. 14PECh. 4.6 - Prob. 15PECh. 4.6 - Prob. 16PECh. 4.6 - Prob. 17PECh. 4.6 - Souvenir hats, T-shirts, and jackets are sold at a...Ch. 4.6 - Prob. 19PECh. 4.6 - Prob. 20PECh. 4 - For Exercises 1–4, determine if the ordered pair...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - For Exercises 11–18, solve the system by graphing....Ch. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - 25. Given the system:
a. Which variable from...Ch. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Given the system. 3 x − 5 y = 1 2 x − y = − 4 a....Ch. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - For Exercises 53–58, solve the systems of...Ch. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - 62. In a triangle, the largest angle measures 76°...Ch. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - 8. a. How many solutions does a system of two...Ch. 4 - Prob. 9TCh. 4 - For Exercises 9–14, solve each system using any...Ch. 4 - For Exercises 9–14, solve each system using any...Ch. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - 19. A plane travels 910 mi in 2 hr against the...Ch. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27T
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