To identify: The system without graphing. Then find the solution to each system using a graph.
The system has no solutions.
Given information:
The given system is:
Explanation:
For two equations
The system of equation will be consistent but independent with one solution if:
The system of equation will be consistent but dependent with infinitely many solutions if:
The system of equation will be inconsistent with no solution if:
Now consider the given system:
The equations can be written as:
Now check if the system of equations is independent, dependent, or inconsistent:
It can also be written as:
The system of equation will be inconsistent with no solution
Therefore, the lines will not intersect nowhere.
Now consider the equation
For
For
Now consider the equation
For
For
Now graph each equation:
From the graph the system has no solutions.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- 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