Question

For what values of a and b does the following pair of equations have an infinite numbers of solutions.       2x+3y=7, a(x+y)-b(x-y)=3a+b-2      

Answer 1

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

Answer 2

answer is a 5 and b1