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 | 25th Jun, 2019, 08:07: PM

Expert Answer:

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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.
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Answered by Yasmeen Khan | 26th Jun, 2019, 10:14: AM