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CBSE Class 10 Answered

find the values of p and q for which the following system of equations has infinitely many solutions. ) (2p-1)x +3y =5; 3x + (q - 1)y = 2
Asked by swatipuspapatel | 13 Jun, 2021, 11:48: AM
answered-by-expert Expert Answer
The given equations will have infinitely many solutions when
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 rightwards double arrow fraction numerator 2 straight p minus 1 over denominator 3 end fraction equals fraction numerator 3 over denominator straight q minus 1 end fraction equals 5 over 2 rightwards double arrow fraction numerator 2 straight p minus 1 over denominator 3 end fraction equals 5 over 2 space space and space space fraction numerator 3 over denominator straight q minus 1 end fraction equals 5 over 2 rightwards double arrow 4 straight p minus 2 equals 15 space space and space space 6 space equals space 5 straight q space minus space 5 rightwards double arrow straight p equals 17 over 4 space space and space space straight q equals 11 over 5
Answered by Renu Varma | 14 Jun, 2021, 10:55: AM

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