Concept explainers
a.
To Solve: system of two equations that consists of equation 1 and equation 2.
a.
Answer to Problem 11PS
The solution is
Explanation of Solution
Given:
The following system has one solution
Concept Used:
These are the linear equations and they can be solved by using substitution method.
Calculation:
Let us consider equation 1 and 2 as asked and solve them for solutions.
From equation 2 we get,
Let us substitute
Where a is any arbitrary constant
By substituting x and y in equation 1 we get,
Hence the solution is
Conclusion:
The solution is
b.
Solve system of two equations that consists of equation 1 and equation 3.
b.
Answer to Problem 11PS
The solutions of 1 and 3 equations is
Explanation of Solution
Given:
The following system has one solution
Concept Used:
These are the linear equations and they can be solved by using elimination method.
Calculation:
Let us consider equation 1 and 3 as and add them
Consider
Where a is any arbitrary constant
Then
Then the value of x will be
Hence
Conclusion:
The solutions of 1 and 3 equations is
c.
To find: That the following system has one solution
c.
Answer to Problem 11PS
The solutions of 2 and 3 equations is
Explanation of Solution
Given:
Concept Used:
These are the linear equations and they can be solved by using elimination method
Calculation:
Let us consider equation 2 and 3 as asked and solve them for solutions.
From equation (2)
Substitute
Let
Then
Put these values in
Hence the solutions of 2 and 3 equations is
Conclusion:
The solutions of 2 and 3 equations is
d.
To find: That the following system has one solution
d.
Answer to Problem 11PS
Hence only one solution is
Explanation of Solution
Given:
Concept Used:
These are the linear equations and they can be solved by using elimination method or graphical method.
Calculation:
From equation (2)
Substitute
Subtract three times of equation (5) from equation (4)
Put
So,
Conclusion:
They have only one solution
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- 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