Pair of Linear Equations in Two Variables — Chapter Summary
Gujarat Board · Class 10 · Mathematics
Summary of Pair of Linear Equations in Two Variables for Gujarat Board Class 10 Mathematics. Part of the Gujarat Board Class 10 Mathematics syllabus.
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Overview
A pair of linear equations in two variables is one of the most important topics in mathematics for 10th grade students. This chapter teaches us how to represent real-world situations mathematically using two equations and then solve them using different methods. For example, if you want to find the
Key Concepts
A linear equation in two variables
A linear equation in two variables has the form ax + by + c = 0, where a, b, and c are constants (numbers), x and y are variables, and at least one of
A pair of linear equations
A pair of linear equations in two variables consists of two linear equations considered together. The general form is: a₁x + b₁y + c₁ = 0 and a₂x + b₂
A pair of linear equations
A pair of linear equations is CONSISTENT if it has at least one solution (could be unique or infinitely many). A pair is INCONSISTENT if it has no sol
Two linear equations are INDEPENDENT if
Two linear equations are INDEPENDENT if they represent different conditions and are not multiples of each other. They are DEPENDENT if one equation is
The graphical method involves plotting both
The graphical method involves plotting both linear equations on the same coordinate plane and finding their intersection point(s). Each linear equatio
Learning Objectives
- Understand what a pair of linear equations in two variables represents
- Learn to represent real-world situations as pairs of linear equations
- Solve pairs of linear equations using the graphical method
- Solve pairs of linear equations using the substitution method
- Solve pairs of linear equations using the elimination method
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Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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