Conditions for consistent and inconsistent systems | Nature of system of linear equations
00:02 Q3. On comparing the ratios a1/b1 , a2/b2 and a3/b3 , find out whether the following pair of linear equations are consistent, or inconsistent.
(i) 3 x + 2 y = 5 ; 2 x – 3 y = 7 (ii) 2 x – 3 y = 8 ; 4 x – 6 y = 9 (iii) 5x – 3 y = 11; – 10 x + 6 y = –22
00:54 Write the coefficients of the variables and constant terms.
01:19 Find ratio of coefficients of x
Find ratio of coefficients of y
Find ratio of constant terms
01:29 Relate relationship of ratios a1/b1 , a2/b2 and c1/c2
01:44 comment upon the consistency and inconsistency of pair of linear equations.
02:03 (ii) 2 x – 3 y = 8 ; 4 x – 6 y = 9
02:37 find a1/a2, b1/b2 and c1/c2.
03:01 relate the above ratio.
03:31 comment upon the consistency and inconsistency of pair of linear equations.
03:56 (iii) 5x – 3 y = 11 ; – 10 x + 6 y = –22
05:07 find a1/a2, b1/b2 and c1/c2.
05:38 relate the above ratio.
05:46 comment upon the consistency and inconsistency of pair of linear equations.
CBSE solutions for class 10 maths Chapter 3 Pair of linear equations Exercise 3.4
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations Ex 3.2
CBSE class 10 maths NCERT Solutions Chapter 3 Pair of linear equations
Solutions for CBSE class 10 Maths Pair of linear equations
NCERT solutions for class 10 maths Pair of linear equations
NCERT solutions for CBSE class 10 maths Pair of linear equations
graphical representation Graphical Method algebraical Method parallel coincident consistent, or inconsistent Algebraic Methods of Solving a Pair of Linear Equations Substitution Method
Elimination Method Cross - Multiplication Method
CBSE class 10 maths Solutions Pair of linear equations Exercise 3.5
Common core Math Pair of linear equations
ICSE Class 10 Pair of linear equations
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