Class 10MathematicsPair of Linear Equations in Two Variables

Consistency of the Pair

When a₁/a₂ ≠ b₁/b₂, the system has a unique solution. When a₁/a₂ = b₁/b₂ = c₁/c₂, there are infinitely many solutions. When a₁/a₂ = b₁/b₂ but differs from c₁/c₂, the system is inconsistent.

How to study this topic

Read the core explanation once without solving.
Open the formula links below and connect them with the topic meaning.
Practice the 10 example pages one by one.
Use the AI ask page for text, voice or image-based doubts.

10 example pages

Concept check 1

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on concept check and show the working clearly.

Definition to application 2

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on definition to application and show the working clearly.

Formula warm-up 3

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on formula warm-up and show the working clearly.

Reasoning practice 4

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on reasoning practice and show the working clearly.

Board-style short answer 5

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on board-style short answer and show the working clearly.

Mistake correction 6

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on mistake correction and show the working clearly.

Visual interpretation 7

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on visual interpretation and show the working clearly.

Applied word problem 8

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on applied word problem and show the working clearly.

Revision challenge 9

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on revision challenge and show the working clearly.

Exam recap 10

For Class 10 Mathematics, explain or solve a consistency of the pair question from the chapter "Pair of Linear Equations in Two Variables". Focus on exam recap and show the working clearly.