Ex 3.1, 3 (i) - Check if 3x + 2y = 5, 2x - 3y = 7 are consistent or - Ex 3.1

part 2 - Ex 3.1, 3 (i) - Ex 3.1 - Serial order wise - Chapter 3 Class 10 Pair of Linear Equations in Two Variables

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Transcript

Ex 3.1, 3 On comparing the ratios ๐‘Ž1/๐‘Ž2 , ๐‘1/๐‘2 & ๐‘1/๐‘2 , find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x โ€“ 3y = 7 3x + 2y โ€“ 5 = 0 2x โ€“ 3y โ€“ 7 = 0 3x + 2y โ€“ 5 = 0 Comparing with a1x + b1y + c1 = 0 โˆด a1 = 3 , b1 = 2 , c1 = โ€“5 2x โ€“ 3y โ€“ 7 = 0 Comparing with a2x + b2y + c2 = 0 โˆด a2 = 2 , b2 = โ€“3 , c2 = โ€“7 a1 = 3 , b1 = 2 , c1 = โ€“5 & a2 = 2 , b2 = โ€“3 , c2 = โ€“7 Since ๐‘Ž1/๐‘Ž2 โ‰  ๐‘1/๐‘2 We have a unique solution Therefore, our system is consistent.

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