
The solution of the system of linear equations

Answer to Problem 3CT
Solution:
The solution of the system
Explanation of Solution
Given information:
The system of linear equations
Explanation:
Let’s solve the system of equation by elimination method, The given system of linear equations is
This is the system of three linear equations and has three variables.
The reduced form of a system of equation of three variables into a system of two variables
To eliminate variable
Thus,
Multiply equation (1) by
Thus,
The equivalent system of equation becomes,
As equation (4) and (5) are equivalent so has infinitely many solutions. This is the consistent system with dependent variable.
To solve equation (4) for
Substitute the value of
The solution of the system is
Therefore, the solution of the system
Chapter 11 Solutions
Precalculus
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