Sunday, March 31, 2013

2. (i) For which values of a and b does the following pair of linear equations have an infinite number of solutions? 2x +3y =7 ; (a – b) x +(a +b) y =3a +b –2


2. (i) For which values of a and b does the following pair of linear equations have an infinite number of solutions?
2x +3y =7  ; (a b) x +(a +b) y =3a +b –2
2x +3y =7
Subtract 7 both side we get
2x + 3y  - 7 =  0
 (a b) x +(a +b) y =3a +b –2
Subtract 3a + b -2 both side we get
(a b) x +(a +b) y  - (3a + b – 2) = 0

Compare with


Hence answer is a = 5 and b = 1

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