Скачать или смотреть Conditions for consistent and inconsistent systems | Nature of system of linear equations

Conditions for consistent and inconsistent systems | Nature of system of linear equations

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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.

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