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Pair of Linear Equations in Two Variables

Solving a pair of linear equations by drawing graphs, by substitution, and by elimination.

Illustration for NCERT Class 10 Exercise 3.3 Solutions: Elimination Method

Pair of Linear Equations in Two Variables

NCERT Class 10 Exercise 3.3 Solutions: Elimination Method

Complete NCERT Class 10 Exercise 3.3 solutions: four pairs solved by both elimination and substitution, plus five word problems on a fraction, Nuri and Sonu's ages, a two-digit number, bank notes and library charges.

9 min read contains equations

Illustration for Elimination Method for Pair of Linear Equations, Class 10

Pair of Linear Equations in Two Variables

Elimination Method for Pair of Linear Equations, Class 10

Learn the elimination method for pairs of linear equations: why adding or subtracting equations works, the steps, worked examples on incomes and digits, and how to spot no solution or infinitely many.

9 min read contains equations

Illustration for NCERT Class 10 Exercise 3.2 Solutions: Substitution Method

Pair of Linear Equations in Two Variables

NCERT Class 10 Exercise 3.2 Solutions: Substitution Method

Complete NCERT Class 10 Exercise 3.2 solutions: six pairs solved by substitution, finding m for y = mx + 3, and six word problems on numbers, angles, bats and balls, taxi fares, a fraction and ages.

9 min read contains equations

Illustration for Substitution Method for Pair of Linear Equations, Class 10

Pair of Linear Equations in Two Variables

Substitution Method for Pair of Linear Equations, Class 10

Learn the substitution method for a pair of linear equations: why it works, the steps, five worked examples including Aftab's age puzzle, and how to spot one, none or infinitely many solutions.

9 min read contains equations

Illustration for NCERT Class 10 Exercise 3.1 Solutions: Graphical Method

Pair of Linear Equations in Two Variables

NCERT Class 10 Exercise 3.1 Solutions: Graphical Method

Complete NCERT Class 10 Exercise 3.1 solutions: forming equations from word problems, solving them graphically, the coefficient ratio test for consistency, building equations to order and the triangle with the x-axis.

12 min read contains equations

Illustration for Graphical Method for Pair of Linear Equations, Class 10

Pair of Linear Equations in Two Variables

Graphical Method for Pair of Linear Equations, Class 10

Learn to solve a pair of linear equations in two variables by drawing graphs, tell intersecting, parallel and coincident lines apart with the coefficient ratio test, and practise with worked examples.

11 min read contains equations

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