To Find: The solution of the system of linear equation and check the solution algebraically
Answer to Problem 26E
So, this system is in consistent and has no solution
Explanation of Solution
Given information: The given system of three linear equations in three variables are
Concept used:Gaussian Elimination is the process of using valid row operations on a matrix until it is in reduced row echelon form
Calculation:
Adding -2 times the first equation to 5 times second equation
___________________.
Adding -2 times the first equation to 5 times second equation produces a new second equation
Adding the first equation to - 5 times third equation
______________________.
Adding the first equation to - 5 times third equation produces a new third equation
Adding -2 times the second equation to third equation
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0 = -70
Adding -2 times the second equation to third equation produces a new third equation
0 = -70Equation 3
Because 0 = -70 is a false statement. So this system is in consistent and has no solution
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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