**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

#### Finding whether lines representing pair of linear equations are intersecting, parallel or coincide

#### Lines representing pair of linear equations – Parallel or coincident

#### Consistent and Inconsistent Linear equations

### 2. Graphical Method of Solution of a Pair of Linear Equations

### 3a. Solving a Pair of Linear Equations by Substitution Method

#### Substitution method Example

### 3b. Solving a Pair of Linear Equations by Elimination Method

### 3c. Solving a Pair of Linear Equations by Cross Multiplication Method