how to solve the consistent and inconsistent questions???
Answers
Step-by-step explanation:
The following cases are possible:
The following cases are possible:i) If both the lines intersect at a point, then there exists a unique solution to the pair of linear equations. In such a case, the pair of linear equations is said to be consistent.
The following cases are possible:i) If both the lines intersect at a point, then there exists a unique solution to the pair of linear equations. In such a case, the pair of linear equations is said to be consistent.ii) Consider two lines having equation to be-
The following cases are possible:i) If both the lines intersect at a point, then there exists a unique solution to the pair of linear equations. In such a case, the pair of linear equations is said to be consistent.ii) Consider two lines having equation to be-i) Consider the equation of the lines to be-
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Consistent and Dependent Systems
The two equations y=2x+5 and y=4x+3 , form a system of equations . The ordered pair that is the solution of both equations is the solution of the system.
A system of two linear equations can have one solution, an infinite number of solutions, or no solution. 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 . 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.