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For what values of a the following pair of equation 4x+3y=3 and 8x+ay=5 will have a unique solution 
Asked by chanderaop19527 | 25 Jun, 2019, 08:07: PM
answered-by-expert Expert Answer
begin mathsize 16px style 4 straight x plus 3 straight y space minus space 3 space equals space 0 space space and space 8 straight x plus ay space minus space 5 equals 0 Here space straight a subscript 1 space equals space 4 comma space straight b subscript 1 space equals space 3 space and space straight c subscript 1 equals space minus 3 space and space straight a subscript 2 space equals space 8 comma space straight b subscript 2 space equals space straight a space and space straight c subscript 2 equals space minus 5 Condition space for space unique space solution colon straight a subscript 1 over straight a subscript 2 not equal to space fraction numerator straight b subscript 1 over denominator space straight b subscript 2 end fraction rightwards double arrow 4 over 8 not equal to space fraction numerator 3 over denominator space straight a end fraction rightwards double arrow straight a space not equal to 6 Therefore comma space the space given space system space will space have space unique space solution space for space all space the space real space values space of space straight a space except space 6. end style
Answered by Yasmeen Khan | 26 Jun, 2019, 10:14: AM

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