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CBSE Class 10 Answered

For what value 'a' and 'b', the following system of linear equations have an infinite number of solutions?
(2a - 1)x - 3y = 5
3x + (b - 2)y = 3
Asked by tv2000in | 16 Apr, 2017, 11:19: PM
answered-by-expert Expert Answer
begin mathsize 16px style For space infinitely space many space solutions space condition space is comma straight a subscript 1 over straight a subscript 2 equals straight b subscript 1 over straight b subscript 2 equals straight c subscript 1 over straight c subscript 2 Given space that open parentheses 2 straight a minus 1 close parentheses straight x minus 3 straight y equals 5 3 straight x plus open parentheses straight b minus 2 close parentheses straight y equals 3 Here comma space straight a subscript 1 equals 2 straight a minus 1 comma space straight a subscript 2 equals 3 straight b subscript 1 equals 3 comma space straight b subscript 2 equals straight b minus 2 straight c subscript 1 equals 5 comma space straight c subscript 2 equals 3 fraction numerator 2 straight a minus 1 over denominator 3 end fraction equals fraction numerator 3 over denominator straight b minus 2 end fraction equals 5 over 3 Solving space fraction numerator 2 straight a minus 1 over denominator 3 end fraction equals 5 over 3 you space will space get space straight a equals 3 Also comma space solving space fraction numerator 3 over denominator straight b minus 2 end fraction equals 5 over 3 You space will space get space straight b equals 1 fifth end style
Answered by Sneha shidid | 17 Apr, 2017, 08:19: AM

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