# RD Sharma Class 10 Chapter 3 (Pair of Linear Equations in Two Variables) Solutions

Share**RD Sharma Class 10 Chapter-3** contain extra questions in addition to those of NCERT Class 10 textbook. Initially, you will learn to represent and solve a pair of linear equations using substitution, elimination or cross-multiplication method. Next, you will study how to represent a pair of linear equations in both graphical and algebraic method.

You need to follow the similar pattern of study that you followed for NCERT when solving textbook questions of RD Sharma Class 10 Chapter-3. Now, validate your answers by taking reference from solutions given below.

## RD Sharma Class 10 Chapter 3 (Pair of Linear Equations in Two Variables) Solutions

Chapter 1 - Real Numbers |

Chapter 2 - Polynomials |

Chapter 3 - Pair of Linear Equations in Two Variables |

Chapter 4 - Triangles |

Chapter 5 - Trigonometric Ratios |

Chapter 6 - Trigonometric Identities |

Chapter 7 - Statistics |

Chapter 8 - Quadratic Equations |

Chapter 9 - Arithmetic Progressions |

Chapter 10 - Circles |

Chapter 11 - Constructions |

Chapter 12 - Some Application of Trigonometry |

Chapter 13 - Probability |

Chapter 14 - Co-ordinate Geometry |

Chapter 15 - Areas Related to Circles |

Chapter 16 - Surface Areas and Volumes |

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**Important Formulas| RD Sharma Class 10 Chapter-3**

1. Two linear equations having two similar variables can be expressed in the general form shown below.

a_{1}x + b_{1}y + c_{1} = 0

a_{2}x + b_{2}y + c_{2} = 0

2. Consider the two equations mentioned above while finding the value of variables. You shall come across the following situations.

a). a_{1}/a_{2} ≠ b_{1}/b_{2} (In case of consistent pair of linear equations)

b). a_{1}/a_{2} = b_{1}/b_{2} ≠ c_{1}/c_{2} (In case of inconsistent pair of linear equations)

c). a_{1}/a_{2} = b_{1}/b_{2} = c_{1}/c_{2} (This condition arises when the pair of linear equations is consistent and dependent)

Concepts in RD Sharma Class 10 Chapter-3

Concepts in RD Sharma Class 10 Chapter-3

- Introduction
- Pair of Linear Equations in Two Variables having Same Variables
- Graphical Representation of Solution obtained from a Pair of Linear Equations
- Algebraic Representation of Solution obtained from a Pair of Linear Equations
- Substitution Method
- Elimination Method
- Cross-Multiplication Method