
To find: the solution of the system

Answer to Problem 32RE
The system has no solution.
Given:
Explanation:
Consider the system of equations
By interchanging the first and third equations,
Use these together to solve the system. Change the system to triangular form by eliminating
The work is shown as follows.
So, the equivalent system one step closer to triangular form is
Eliminate
So, the equivalent system one step closer to triangular form is
The system is now triangular form, but the third equation says
No matter what values assigned to
Hence, conclude that, the system has no solution.
Conclusion:
Hence, the system has no solution.
Explanation of Solution
Given:
Consider the system of equations
By interchanging the first and third equations,
Use these together to solve the system. Change the system to triangular form by eliminating
The work is shown as follows.
So, the equivalent system one step closer to triangular form is
Eliminate
So, the equivalent system one step closer to triangular form is
The system is now triangular form, but the third equation says
No matter what values assigned to
Hence, conclude that, the system has no solution.
Conclusion:
Hence, the system has no solution.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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