Question

If a pair of linear equation in two variables are inconsistent then write how many solution do they have

Answer 1

For linear equations in two variables, inconsistent systems have no solution, while dependent systems have infinitely many solutions.

Answer 2

If a pair of linear equations in two variables is inconsistent then they have no solution.

• If a pair of linear equations in two variables is consistent then it does not have any solution.
• In the case of inconsistent solutions, the pair of linear equations in two variables is parallel to each other.
• The condition for the parallel lines is:

            a1/a2 = b1/b2 ≠ c1/c2

Hence, if a pair of linear equations in two variables is inconsistent then they have no solution.