For which value of a&b the following will hav infinite no. of solutions

Asked by arvindkrishnan | 3rd Oct, 2009, 07:54: PM

Expert Answer:

For the system  of equations

2x+3y=7

(a-b)x+(a+b)y=3a+b-2

 to have infinite solutions

2/(a-b)=3/(a+b)=7/(3a+b-2)

First and II ratio gives a=5b

 II and III ratio gives  a-2b-3 =0

solving gives a=5,b=1

First and III ratio gives a-9b+4=0

 a=5,b=1  satisfies the above equation so the system of equations has infinite solutions for a=5 and b=1

Answered by  | 5th Oct, 2009, 12:32: PM

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