To find:The given statement is true or false. If false, replace underlined term to make the true sentence.
Answer to Problem 4SGR
The given statement is true.
Explanation of Solution
Given information:
The given statement:If asystem has no solution, it is said to be inconsistent
Concept used:
If a system has at least one solution, then it is said to be consistent. If a consistent system of equations has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it isdependent,when graphed such equations, represent the same line. If a system has no solution, it is said to be inconsistent .The graphs of such equations do not intersect, i.e., graphs are parallel.
Let a system of equations is
Thus, the given statement is true.
Chapter 6 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Additional Math Textbook Solutions
Calculus: Early Transcendentals (2nd Edition)
A First Course in Probability (10th Edition)
Thinking Mathematically (6th Edition)
Algebra and Trigonometry (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education