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

Asked by katyalaanchal | 16th Apr, 2011, 12:00: AM

Expert Answer:

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.
 

Answered by  | 16th Apr, 2011, 05:38: PM

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