To find:the solution of the system and the conditions should be placed on the constants in the system to be certain that the system has a unique solution.
Answer to Problem 41WE
The system has a solution
Explanation of Solution
Given information:
The system of the equation is
Calculation:
Assume that the system
The values of a , b , c , d , e, and f are computed as follows,
Find the linear combination that eliminates the variable y .
Since the least common multiple of the y’s coefficients b and d is bd , multiply first equation by d and multiply second equation by
Add these two equations to simplify,
Simplify further to find the values of x ,
The denominator of
Thus, the value of
Substitute
Simplify further to find the value of y ,
Divide on both sides by b ,
Thus, the value of
Therefore, the system has a solution
Chapter 3 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
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