![Algebra 1](https://www.bartleby.com/isbn_cover_images/9780078884801/9780078884801_largeCoverImage.gif)
To find:The number of solutions of given system of equations using graph and if it hasone solution, name it.
![Check Mark](/static/check-mark.png)
Answer to Problem 7MCQ
The given system of equations has no solution so is inconsistent.
Explanation of Solution
Given information:
The given system of equations is
Conceptused:
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.
Graph:
The graph of given equations
From the graph of equations we see that the lines
Conclusion:
The given system of equations has no solution so is inconsistent.
Chapter 6 Solutions
Algebra 1
Additional Math Textbook Solutions
Elementary Algebra
College Algebra (7th Edition)
College Algebra
Linear Algebra and Its Applications (5th 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
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134463216/9780134463216_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305657960/9781305657960_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781285463247/9781285463247_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780135163078/9780135163078_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780980232776/9780980232776_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780077836344/9780077836344_smallCoverImage.gif)