Pair of Linear Equations in Two Variables Class 10 Maths

Pair of Linear Equations in Two Variables Class 10 Maths, deals with various concepts which are as under:-

Pair of Linear Equations in Two Variables
Graphical Method of Solution of a Pair of Linear Equations
Algebraic Methods of Solving a Pair of Linear Equations
Substitution Method
Elimination Method
Cross-Multiplication Method
Equations Reducible to a Pair of Linear Equations in Two Variables

1. Linear Equations in two Variable

Equation having two variables i.e. x and y and where the maximum power of both the variable is 1 are called linear equation in two variables.

Solution of a Linear Equation in two variables

When are pair of lines intersecting, coincident or parallel

For two lines: $a_1$ x+ $b_1$ y+ $c_1$ =0 and $a_2$ x+ $b_2$ y+ $c_2$ =0
Lines will be intersecting if $a_1/a_2$ ≠ $b_1/b_2$
Lines will be coincident if: $a_1/a_2$ = $b_1/b_2$ = $c_1/c_2$
Lines will be parallel if: $a_1/a_2$ = $b_1/b_2$ ≠ $c_1/c_2$