ALGEBRA 1:COMMON CORE
22nd Edition
ISBN: 9781647274160
Author: Larson
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 6.1, Problem 10P
Reasoning Can there be more than one point of intersection between the graphs of two linear equations? Why or why not?
Expert Solution & Answer
To determine
To Explain: Why or why not the intersection of system of linear equations has more than one point as solution.
Answer to Problem 10P
Yes! The system of linear equations can have more than one point of intersection. Overlapping lines has infinite number of solutions. That’s the system of equations represents same line.
Explanation of Solution
Given information:The system of equation with more than one solution.
If the graph of system of linear equations is overlapping lines then they have more than one solution.
The overlapping lines lay one on another. So, they intersect at more than one point. That’s the simplest form of two equations are same.
Conclusion: The overlapping lines intersect at more than one point.
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...
Additional Math Textbook Solutions
Find more solutions based on key concepts
The equation 68=z48
Pre-Algebra Student Edition
Two cards are randomly selected from an ordinary playing deck. What is the probability that they loin, a blackj...
A First Course in Probability (10th Edition)
Hypothesis Testing Using a P-Value In Exercises 31–36,
identify the claim and state H0 and Ha.
find the standar...
Elementary Statistics: Picturing the World (7th Edition)
76. Dew Point and Altitude The dew point decreases as altitude increases. If the dew point on the ground is 80°...
College Algebra with Modeling & Visualization (5th Edition)
Fill in each blank so that the resulting statement is true. If n is a counting number, bn, read ______, indicat...
College Algebra (7th Edition)
Fill in each blank so that the resulting statement is true. The quadratic function f(x)=a(xh)2+k,a0, is in ____...
Algebra and Trigonometry (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- ?arrow_forwardSolve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forward
- A vacant lot is being converted into a community garden. The garden and a walkway around its perimeter have an area of 690 square feet. Find the width of the walkway (x) if the garden measures 14 feet wide by 18 feet long. Write answer to 2 decimal places. (Write the number without units). Hint: add 2x to each of the garden dimensions of 14 x 18 feet to get the total area for the length multiplied by width.arrow_forwardSolve x-1 x+2 = 12 3 4 Your Answer: Answerarrow_forwardFind the solutions to the following equation 21x²+5x=6 ○ a) -3/7, 3/2 ☐ b) -2/3, 3/7 ○ c) -7/3, 3/2 ○ d) -2/3, 7/3arrow_forward
- Listen Solve the quadratic equation. Write the one solution, do not write x =. 2 x²+6x+9= 0 বarrow_forwardSolve the rational equation 14 1 + x-6 x x-7 x-7 ○ a) x = 1, x = 8 ○ b) x = 1 ○ c) x = 7 ○ d) x = 1, x = 7arrow_forwardSolve the absolute inequality | x + 5 > 3 ○ a) (-∞, -8] U[-2, ∞0) ☐ b) (-8, -2) c) (-2, ∞0) ○ d) (-∞, - 8) U(-2, ∞0)arrow_forward
- 1) Listen Describe the error in the problem X 3 X x 3 - 2 = 25x = 0 25x 25 x = ±5arrow_forwardA falling object travels a distance given by the formula d = 6t + 7t² where d is in feet and t is the time in seconds. How many seconds will it take for the object to travel 115 feet? Round answer to 2 decimal places. (Write the number, not the units). Your Answer:arrow_forwardListen Solve the quadratic equation. Write the smaller answer first. 2 Xx - 5x = 24 x = Α x =arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSON
Contemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage Learning
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSON
Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education
UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY
System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY