To solve:The system of linear equations using Gaussian elimination method with back-substitution.
Answer to Problem 63E
Thesolution of the given system is
Explanation of Solution
Given information:
The system of equations is
Calculations:
Writing the given system of linear equations in the augmented matrix form, we have
Performing the row operations to bring it in row-echelon form, we get
Now, the matrix is in row-echelon form, and writing it in the system form, we have
Substituting
Now, the second equation becomes
Substituting above finding values in the first equation, we get
Conclusion:
Therefore, the solution of the given system is
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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