solve a pair of linear equations in two variables.

With the help of this activity, we have learnt that: If a_1/a≠b_1/b≠c_1/c then both the lines intersect at a unique point and vice versa. It means this system of equations has a unique solution. This type of linear equation system is called ‘consistent with a unique solution’. If a_1/a=b_1/b≠c_1/c then both the lines are parallel and never intersect and vice versa. It means these equations don’t have any solution. This type of linear equation system is called ‘inconsistent’. If a_1/a=b_1/b=c_1/c then both the lines are identical and vice versa. It means these equations have infinitely many solutions. This type of linear equation system is called ‘consistent with infinite solutions’.

 

Mathguru

 
Resource Type
Activity
Tags
equation  equations  linear  linear-equation  linear-function 
Target Group (Age)
19+
Language
English (United Kingdom)
 
 
GeoGebra version
4.0
Views
1846
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