What is the graph of consistent dependent system?
What is the graph of consistent dependent system?
Consistent Dependent: A system of linear equations is consistent dependent if it has an infinite number of solutions. When this is the case, the graphs of the lines in the system are the same, meaning the equations in the system represent the same line.
Can graphing be used if the system is inconsistent or dependent?
Can graphing be used if the system is inconsistent or dependent? Yes, in both cases we can still graph the system to determine the type of system and solution. If the two lines are parallel, the system has no solution and is inconsistent.
What is an example of a dependent system?
Dependent system: The equations 3x+2y=6 3 x + 2 y = 6 and 6x+4y=12 6 x + 4 y = 12 are dependent, and when graphed produce the same line. Note that there are an infinite number of solutions to a dependent system, and these solutions fall on the shared line.
What is the difference between inconsistent and dependent systems?
If a system has at least one solution, it is said to be consistent . 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 .
What are inconsistent and dependent systems in math?
Consistent and Dependent Systems. 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.
How do you know if a system is independent or inconsistent?
If a consistent system has exactly one solution, it is independent . 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 .
What is the difference between consistent and dependent systems?
Consistent and Dependent Systems. If a consistent system has exactly one solution, it is independent . 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,…
How do you know if an equation is dependent or consistent?
Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent. If a consistent system has exactly one solution, it is independent. If a consistent system has an infinite number of solutions, it is dependent.
