
To find: the solution of the system

Answer to Problem 27RE
The system has no solution.
Given:
Explanation:
Let’s begin by labeling our three equations.
Use operation
Our new system, with the new Equation
Now, combine Equation
Simplified, this is
Our new system, with the new Equation
Finally, let’s combine Equation
Simplified, this is
Our system is now in triangular form.
However, this is a false equation, since
Conclusion:
Thus, the system has no solution.
Explanation of Solution
Given:
Let’s begin by labeling our three equations.
Use operation
Our new system, with the new Equation
Now, combine Equation
Simplified, this is
Our new system, with the new Equation
Finally, let’s combine Equation
Simplified, this is
Our system is now in triangular form.
However, this is a false equation, since
Conclusion:
Thus, the system has no solution.
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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