Скачать или смотреть Consistent / Inconsistent || Pair of linear equation in two variables || class 10

Consistent / Inconsistent || Pair of linear equation in two variables || class 10

In mathematics, a pair of linear equations in two variables is said to be consistent if it has at least one solution that satisfies both equations simultaneously. In other words, the graphs of the two equations intersect at exactly one point.

On the other hand, a pair of linear equations in two variables is said to be inconsistent if it has no solution that satisfies both equations simultaneously. In other words, the graphs of the two equations are parallel and do not intersect.

To determine whether a pair of linear equations in two variables is consistent or inconsistent, one can use various methods such as graphical method, substitution method, or elimination method.

Consistent linear equations have a unique solution, whereas inconsistent linear equations have no solution. The concept of consistency and inconsistency of linear equations is important in solving real-world problems involving two variables.

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