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Pair of Linear Equations in Two Variables

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Track :

Mathematics

Lessons no : 14

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What will you learn in this course?
  • Identify the structure and form of linear equations in two variables for algebraic problem-solving
  • Solve systems of linear equations in two variables using graphical and algebraic methods
  • Determine whether a pair of linear equations is consistent, inconsistent, or dependent based on their solutions
  • Apply substitution and elimination techniques to find solutions to linear equations in two variables
  • Analyze the nature of solutions—unique, infinite, or none—of linear equation pairs in real-world contexts
  • Graph linear equations accurately to interpret solutions and relationships between variables
  • Differentiate between dependent and independent linear equations in two variables for advanced algebra
  • Utilize linear equations in two variables to model and solve practical problems in mathematics and science

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Lessons | 14


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A pair of linear equations in two variables, which has a solution, is called a consistent pair of linear equations. A pair of linear equations which are equivalent has infinitely many distinct common solutions. Such a pair is called a dependent pair of linear equations in two variables.What is a pair of linear equations? If two linear equations have the two same variables, they are called a pair of linear equations in two variables. Following is the most general form of linear equations: a1x + b1y + c1 = 0. a2x + b2y + c2 = 0.What is a linear equation in two variables Class 10? An equation that can be of the form ax + by + c = 0, where a, b and c are real numbers, and a and b are not both zero, is called a linear equation in two variables x and y.