ALGEBRA 1:COMMON CORE
22nd Edition
ISBN: 9781647274160
Author: Larson
Publisher: CENGAGE L
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Textbook Question
Chapter 6.4, Problem 15P
Open-Ended What are three differences between an inconsistent system and a consistent and independent system? Explain.
Expert Solution & Answer
To determine
To determine three differences between an inconsistent system and a consistent and independent system.
Explanation of Solution
Consistent and independent system has one solution whereas inconsistent system has no solution.
Inconsistent system has lines with same slope whereas the slopes are different for the lines in a consistent and independent system.
In Consistent and independent system lines on the graph shall intersect each other whereas they do not intersect in case of inconsistent system. Lines are parallel in case of inconsistent system.
Chapter 6 Solutions
ALGEBRA 1:COMMON CORE
Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Solve each system by graphing. Check your...Ch. 6.1 - Reasoning Can there be more than one point of...
Ch. 6.1 - Reasoning If the graphs of the equations in a...Ch. 6.1 - Writing Explain the method used to graph a line...Ch. 6.1 - Reasoning If the ordered pair (3,2) satisfies one...Ch. 6.1 - Writing If the graphs of two lines in a system do...Ch. 6.1 - Reasoning Without graphing, decide whether the...Ch. 6.1 - Five years from now, a fathers age will be three...Ch. 6.1 - The denominator of a fraction is greater than its...Ch. 6.1 - The sum of the distances two hikers walked is 53...Ch. 6.1 - The result of dividing a two-digit number by the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - Solve each system by graphing. Tell whether the...Ch. 6.1 - The measure of one of the angles of a triangle is...Ch. 6.1 - For Exercises 14, choose the correct letter. Which...Ch. 6.1 - For Exercises 14, choose the correct letter. How...Ch. 6.1 - For Exercises 14, choose the correct letter. What...Ch. 6.1 - For Exercises 14, choose the correct letter. Which...Ch. 6.1 - For Exercises 1-4, choose the correct letter. A...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Solve each system by substitution. Check your...Ch. 6.2 - Writing How do you know that substitution gives...Ch. 6.2 - Reasoning With the substitution method, which...Ch. 6.2 - Writing How can you use substitution method to...Ch. 6.2 - 6y+2x=3 Writing When solving the system of...Ch. 6.2 - Reasoning Can you tell that there is no solution...Ch. 6.2 - If the difference in the side lengths of two...Ch. 6.2 - A shopper purchased 8 T-Shirts and 5 pairs pants...Ch. 6.2 - A student bought 1 box of crayons and 5 reams of...Ch. 6.2 - Suppose you got 8 mangoes and 3 apples for $18 and...Ch. 6.2 - A shopper purchased 4 tables and 2 chairs for $200...Ch. 6.2 - If the length of the rectangle is twice the width,...Ch. 6.2 - The population of a city is 2,500. If the number...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each system by substitution. Tell whether...Ch. 6.2 - Solve each exercise and enter your answer on the...Ch. 6.2 - Solve each exercise and enter your answer on the...Ch. 6.2 - Solve each exercise and enter your answer on the...Ch. 6.2 - Solve each exercise and enter your answer on the...Ch. 6.2 - Solve each exercise and enter your answer on the...Ch. 6.3 - Solve each system using elimination. x+y=2 xy=4Ch. 6.3 - Solve each system using elimination. x+2y=3 xy=6Ch. 6.3 - Solve each system using elimination. 2xy=4 3xy=2Ch. 6.3 - Solve each system using elimination. x2y=2 x+y=3Ch. 6.3 - Solve each system using elimination. x3y=3 2x+3y=5Ch. 6.3 - Solve each system using elimination. x+2y=4 x+y=2Ch. 6.3 - Solve each system using elimination. 3x2y=8 2x2y=5Ch. 6.3 - Solve each system using elimination. x2y=3 3xy=2Ch. 6.3 - Solve each system using elimination. 2x4y=6 xy=1Ch. 6.3 - 3x5y=9 Writing For the system 2x+y=3 which...Ch. 6.3 - Open-Ended If you do not have equal coefficients...Ch. 6.3 - In a class, 45 students take the SAT exam. The...Ch. 6.3 - Open-Ended Write a system for which using the...Ch. 6.3 - Error Analysis A student solved a system of linear...Ch. 6.3 - A farm raises a total of 220 chickens and pigs....Ch. 6.3 - You drive a car that runs on ethanol and gas. You...Ch. 6.3 - Your math test has 38 questions and is worth 200...Ch. 6.3 - A student bought 3 boxes of pencils and 2 boxes of...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - Solve each system using elimination. Tell whether...Ch. 6.3 - How is the multiplication or division property of...Ch. 6.3 - For Exercises 15, choose the correct letter. What...Ch. 6.3 - For Exercises 15, choose the correct letter. The...Ch. 6.3 - For Exercises 15, choose the correct letter. What...Ch. 6.3 - For Exercises 15, choose the correct letter. Two...Ch. 6.3 - For Exercises 15, choose the correct letter. What...Ch. 6.3 - A hotel is offering the two weekend specials...Ch. 6.4 - Solve each word problem You have $6000 to invest...Ch. 6.4 - Solve each word problem During a sale at the local...Ch. 6.4 - Solve each word problem The sum of two numbers is...Ch. 6.4 - Solve each word problem One plane at 520 feet is...Ch. 6.4 - Solve each word problem The perimeter of a...Ch. 6.4 - Solve each word problem You are getting ready to...Ch. 6.4 - Solve each word problem You have a cable plan that...Ch. 6.4 - Solve each word problem At an all-you-can-eat...Ch. 6.4 - Solve each system. Explain why you chose the...Ch. 6.4 - Solve each system. Explain why you chose the...Ch. 6.4 - Solve each system. Explain why you chose the...Ch. 6.4 - Solve each system. Explain why you chose the...Ch. 6.4 - Solve each system. Explain why you chose the...Ch. 6.4 - Solve each system. Explain why you chose the...Ch. 6.4 - Open-Ended What are three differences between an...Ch. 6.4 - Reasoning One number is 4 less than 3 times a...Ch. 6.4 - Error Analysis In Exercise 16, what kind of errors...Ch. 6.4 - A plane leaves Chicago and flies 750 miles to New...Ch. 6.4 - A coin bank has 250 coins, dimes and quarters,...Ch. 6.4 - In 4 years, a mother will be 5 times as old as her...Ch. 6.4 - For Exercises 15, choose the correct letter. You...Ch. 6.4 - For Exercises 15, choose the correct letter. The...Ch. 6.4 - For Exercises 15, choose the correct letter. You...Ch. 6.4 - For Exercises 15, choose the correct letter....Ch. 6.4 - For Exercises 15, choose the correct letter. A...Ch. 6.4 - Rectangle EFGH has a perimeter of 24 inches, and...Ch. 6.5 - Graph each linear inequality. x4Ch. 6.5 - Graph each linear inequality. y2Ch. 6.5 - Graph each linear inequality. 3xy6Ch. 6.5 - Graph each linear inequality. 4x+5y3Ch. 6.5 - Graph each linear inequality. 3x+2y6Ch. 6.5 - Graph each linear inequality. yxCh. 6.5 - Graph each linear inequality. 3x5y6Ch. 6.5 - Graph each linear inequality. x44y3Ch. 6.5 - Graph each linear inequality. x44y3Ch. 6.5 - Error Analysis A student graphed y4x+3 as shown....Ch. 6.5 - Writing How do you decide which half-plane to...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Determine whether the ordered pair is a solution...Ch. 6.5 - Write an inequality that represents each graph.Ch. 6.5 - Write an inequality that represents each graph.Ch. 6.5 - You and some friends have $30. You want to order...Ch. 6.5 - Tickets to a play cost $5 at the door and $4 in...Ch. 6.5 - Reasoning Two students did a problem as above, but...Ch. 6.5 - For Exercises 15, choose the correct letter. What...Ch. 6.5 - For Exercises 15, choose the correct letter. For...Ch. 6.5 - For Exercises 15, choose the correct letter. If x0...Ch. 6.5 - For Exercises 15, choose the correct letter. Which...Ch. 6.5 - For Exercises 15, choose the correct letter. How...Ch. 6.5 - A school fundraiser sells holiday cards and...Ch. 6.6 - Solve each system of inequalities by graphing....Ch. 6.6 - Solve each system of inequalities by graphing....Ch. 6.6 - Solve each system of inequalities by graphing....Ch. 6.6 - Writing What is the difference between the...Ch. 6.6 - Open-Ended When can you say that there is no...Ch. 6.6 - Error Analysis A student graphs the system below....Ch. 6.6 - Determine whether the ordered pair is a solution...Ch. 6.6 - Determine whether the ordered pair is a solution...Ch. 6.6 - Determine whether the ordered pair is a solution...Ch. 6.6 - Mark is a student, and he can work for at most 20...Ch. 6.6 - Britney wants to bake at most 10 loaves of bread...Ch. 6.6 - Write a system of inequalities for the following...Ch. 6.6 - Solve each system of inequalities by graphing....Ch. 6.6 - Solve each system of inequalities by graphing....Ch. 6.6 - Solve each system of inequalities by graphing....Ch. 6.6 - For Exercises 14, choose the correct letter. You...Ch. 6.6 - Which of the following systems of inequalities...Ch. 6.6 - For the graph above, what is the approximate...Ch. 6.6 - A student spends no more than 2 hours on his math...Ch. 6.6 - A young woman wants to make at least $200 a week...
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