# Pair of Linear Equations in Two Variables - NCERT Class 10 Maths

The introduction part of the chapter 3 presents a fact that each solution (*x*, *y*) of a linear equation in two variables, *ax* + *by* + *c* = 0, corresponds to a point on the line representing the equation, and vice versa. Next, a pair of linear equations in two variables is explained as a combination of two linear equations that are in the same two variables *x* and *y*. Next, several solved examples are presented wherein students are told about the graphical representation of linear equations in two variables. Thereafter, for the second exercise, the graphical method of solving a pair of linear equations in two variables is presented. The rest of the chapter covers concepts like - algebraic method of solving a pair of linear equations in two variables, elimination method, cross-multiplication method, and equations reducible to a pair of linear equations in two variables.