Arinjay Academy / April 5, 2019

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: $a_1/a_2$ = $b_1/b_2$ ≠ $c_1/c_2$

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

4. Equations Reducible to a Pair of Linear Equations in Two Variables

Solving Equations after reducing them to linear equation

Speed Distance problem on linear equation

Cross Multiplication method of Solving Linear Equations

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