The system of three linear equations has no solution,but the system has no solution.
Answer to Problem 28E
There is no solution of the above system of equation as (0,0), the unique solution of first two equations does not satisfy third equation.
Explanation of Solution
Given information:
The system of three linear equations in two variables so that any two of the equations have exactly one solution, but the entire system of equations has no solution.
Formula used:
Calculation:
Consider the following system of equations:
Note that slopes of the three equations are different. As a result any two equations would have exactly one solution.
There is no solution of the above system of equation as (0,0), the unique solution of first two equations does not satisfy third equation.
Conclusion:
There is no solution of the above system of equation as (0,0), the unique solution of first two equations does not satisfy third equation.
Chapter 5 Solutions
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