In Exercises 1 -5, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions. using set notation to express their solution sets.
To calculate: The number of solutions of a system
Answer to Problem 1RE
Solution:
The solution of the system of equation is unique with coordinates
Explanation of Solution
Given information:
The system of equations
Calculation:
Let us consider the system of equations as given below:
Put the value of y from equation (I) in to equation (II) and compute the value of x as given below:
Put the value of x in equation (I) and compute the value of y as given below:
And check the equation
Which is correct.
And check the equation
Which is also correct.
Therefore, the solution of the equations is unique
Thus, solution set of system of equation is
Want to see more full solutions like this?
Chapter 7 Solutions
Precalculus (6th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning