To give an example of two equivalent systems of equations.
The systems of equations
Concept Used:
Equivalent systems of equations:
Given a system of equations.
Then, a new system of equations obtained by multiplying any of the equation by a non-zero constant is said to be an equivalent system of equations to the original one.
Calculation:
Choose a system of linear equations in two variable, say:
Multiply the first equation
Simplify the equation
Then, the system of equations becomes:
Then, it follows that
Conclusion:
The systems of equations
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