CBSE Class 10 Mathematics
Question 19 of 29
Pair of Linear Equations in Two Variables — Question Ex 3.5 Q3
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Question Ex 3.5 Class 10 Maths Question 3.
Solve the following pair of linear equations by the substitution and cross-multiplication methods:
8x + 5y = 9, 3x + 2y = 4
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Mathematics | Pair of Linear EquationsWeb Content
CBSE Class 10 Pair of Linear Equations — Complete Guide
This chapter carries 5-6 marks and is crucial for the Algebra unit. Master graphical and algebraic methods for solving pairs of linear equations.
Quick Revision: Key Concepts
- Unique solution: a1/a2 ≠ b1/b2 (intersecting lines)
- Infinite solutions: a1/a2 = b1/b2 = c1/c2 (coincident lines)
- No solution: a1/a2 = b1/b2 ≠ c1/c2 (parallel lines)
- Methods: Substitution, Elimination, Cross-multiplication
- Reducible equations: Substitute u = 1/x, v = 1/y
Most Important Questions
- Determine consistency of a system of equations
- Solve using elimination or substitution method
- Word problems: age, speed, fraction, geometry type
- Equations reducible to linear form (1/x, 1/y type)
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