Pair of Linear Equations in Two Variables
CBSE · Class 10 · Mathematics
Quick revision notes for Pair of Linear Equations in Two Variables — CBSE Class 10 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
Key Topics to Revise
Introduction to Linear Equations in Two Variables
- A linear equation in two variables x and y has the general form ax + by + c = 0, where a, b, c are real numbers and a ≠ 0 or b ≠ 0
- The graph of a linear equation in two variables is always a straight line
- A pair of linear equations involves two such equations with the same two variables
Types of Solutions and Graphical Representation
- Two lines can intersect at exactly one point (unique solution)
- Two lines can be parallel (no solution)
- Two lines can be coincident/same line (infinitely many solutions)
Graphical Method of Solution
- Plot both equations as straight lines on the same coordinate plane
- The point of intersection gives the solution
- If lines are parallel, no solution exists
Substitution Method
- Express one variable in terms of the other from one equation
- Substitute this expression into the second equation
- Solve the resulting equation in one variable
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- 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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