Sat April 16, 2011 By:

sir are the pair of linear eqations with intersecting lines only consistant

Expert Reply
Sat April 16, 2011
Yes, two linear equations have a common solution if the lines represnted by them are intersecting.
Note: A linear equation in x and y always represents a straight line.
Two straight lines are either parallel or intersecting.
Thus only intersecting lines have a common solution.
Now consider 3 linear equations in x and y.
We say they are consistent, if they have a common solution.
In geometry we say the lines are concurrent.

Ask the Expert