To determine a system of two linear equations that has no solution.
Answer to Problem 16CT
Explanation of Solution
Given:
System of two linear equations
A system of linear equations has no solution when the graphs are parallel.
A system of linear equations has no solution when there is no intersection or common point between the graphs of the two linear systems.
Let’s discuss an example,
Taking two linear systems,
As the equations have slope value same, that is
This means that the lines must be parallel. And since the y -intercepts are different, we know the lines are not on top of each other.
Graph:
Conclusion:
Therefore,
Chapter 6 Solutions
High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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