Find solution of the given system of linear equations
Answer to Problem 3CT
The solution of the system of linear equations is:
Explanation of Solution
Given:
System of equations
Let consider the following system of equations
Here, the variables are already aligned.
Now, using the coefficients and constant terms as the matrix entries, the augmented matrix is:
The system can be solved by the Gaussian elimination method.
First, convert the given matrix into its row-echelon form:
So, the linear equations become:
Now, solve these equations by back-substitution.
The third equation gives
Putting this value in secondequation,
Putting these values in third equation,
Hence, the solution of the system of linear equations is:
Chapter 8 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning