Cross multiplication method ll pair of linear equations with two variables ll CBSE class 10

Cross Multiplication- Pair Of Linear Equations In Two Variables

Cross multiplication method for solving linear equation in two variables:

The solution of the equations is given as:

xb1 c2 − b2 c1 = yc1 a2 − c2 a1 = 1b2 a1 − b1 a2 

The condition for consistency of pair of linear equation in two variables must be checked which are as follows:

1.  If a1a2 ≠ b1b2 , then we get a unique solution and the pair of linear equations in two variables are consistent.
2.  If a1a2 = b1b2 = c1c2 , then there exists infinitely many solutions and the pair of lines are coincident and therefore, dependent and consistent.
3.  If a1a2 = b1b2 ≠ c1c2 , then there exists no solution and the pair of linear equations in two variables are said to be inconsistent.