To explain: The method to recognize that the system has no solutions with example.
Answer to Problem 112E
The system is inconsistent if graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Explanation of Solution
Calculation:
If a consistent system has an infinite number of solutions, it is dependent. When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent.
The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
For example consider the following system of linear equations.
The graph of both the equation is as follows.
Therefore, the system is inconsistent if graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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