Topics
Real Numbers
Number Systems
Algebra
Polynomials
Coordinate Geometry
Pair of Linear Equations in Two Variables
- Pair of Linear Equations in Two Variables
- Graphical Method with Different Cases of Solution
- Algebraic Methods of Solving a Pair of Linear Equations
- Substitution Method
- Elimination Method
Geometry
Quadratic Equations
Trigonometry
Arithmetic Progressions
Mensuration
Coordinate Geometry
Statistics and Probability
Triangles
Circles
Introduction to Trigonometry
Heights and Distances
- Angles of Elevation and Depression
- Problems based on Elevation and Depression
Areas Related to Circles
Surface Areas and Volumes
Statistics
Probability
CBSE: Class 10
Key Points: Substitution Method
Steps:
-
Express one variable in terms of the other
-
Substitute
-
Solve
-
Substitute back
| Case | What You Get While Solving | Type of Statement | Nature of Equations |
|---|---|---|---|
| Unique solution | Specific values of x and y | Valid numerical values | Consistent |
| Infinitely many solutions | A true statement like 18 = 18 | Always true | Dependent |
| No solution | A false statement like 0 = 5 | Contradiction | Inconsistent |
