a system of two linear equations in two variables has no solution, if their graphs___at any point
Answers
Step-by-step explanation:
Two linear equations will have no solution if their graphs do not meet at any point.
Answer: are parallel to each other
Step-by-step explanation:
A consistent system is said to be an independent system if it has a single solution, such as the example we have just explored.
A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.
Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.
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