Question

Condition for consistent and inconsistent of linear equation

Answer 1

Step-by-step explanation:

for any pair of linear equation you need to satisfy the above three conditions :

For consistent linear equation:

• If any equation is in the form of a1/a2 ≠ b1/b2, that is they will have intersecting lines if you draw them in a graph.
• If any linear equation is in the form of a1/a2 = b1/b2 = c1/c2, then they will have coincident lines if you draw them on a graph paper.

For consistent linear equation:

• If any equation is in the form of a1/a2 = b1/b2 ≠ c1/c2, then they will have parallel lines to draw them on a graph paper.

so you only have to put numbers in the place of variable that is a, b and c to get to know that equation you have is consistent or inconsistent.

For example: