(a)
To find: The general expression for all its solutions.
(a)
Answer to Problem 19WE
The general expressions for the solutions of the given system is
Explanation of Solution
Given:
Calculation:
Let us first transform the given system of equations into a triangular system.
Multiply first equation by
Then, multiply the first equation by
In
The third equation in the resulting system shows that the given system is dependent and has infinitely many solutions. The solutions for
In
Substitute the value of
Therefore, the general expressions for the solutions of the given system is
Conclusion:
The general expressions for the solutions of the given system is
(b)
To find: The three particular solutions.
(b)
Answer to Problem 19WE
The three solutions of the given systems are
Explanation of Solution
Given:
Calculation:
In order to find solutions of the system, substitute random values of
Substitute
Therefore, the three solutions of the given systems are
Conclusion:
The three solutions of the given systems are
Chapter 9 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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