Question

to verify the condition of consistency or inconsistency for the pair of linear equations in two variables by graphical method

Answer 1

Step-by-step explanation:

In pair of linear eq. if

1. two lines coincide in a graph
2. or they intersect each other then they are consistent.
3. if the lines are parallel to each other they are inconsistent

Answer 2

To verify the condition of consistency or inconsistency for the pair of linear equations in two variables by graphical method is:

• To sketch the graph of pair of linear equation in two variables, draw two lines representing the equations, if both lines intersect at a point, then there exists a unique solution to the pair of linear equations, then they are said to be consistent.
• Let the both lines parallel to each other, then there exists no solution, because the lines never intersect.
• Algebraically, for such cases, a1/a2 = b1/b2 =! c1/c2, the the pat of linear equations in two variables are said to be inconsistent.