Pair of Linear Equations in Two Variables — Formula Sheet
Karnataka Board · Class 10 · Mathematics
4 formulas from Pair of Linear Equations in Two Variables (Karnataka Board Class 10 Mathematics) on one page, grouped by topic.
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Formulas and Key Relations
Basic Concepts and Definitions
A linear equation in two variables x and y has the form ax + by + c = 0, where a, b, c are real numbers and a² + b² ≠ 0
Key relations
Example
2x + 3y - 6 = 0.
For equations a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0: If a₁/a₂ ≠ b₁/b₂, lines intersect (unique solution).
Step 1
From one equation, express one variable in terms of the other (y = mx + c form).
Full sheet with units and worked examples
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Sources & Official References
- Karnataka SSLC — kseeb.kar.nic.in
- Dept of Pre-University Education, Karnataka
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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