Question

Find the values of a and b for which each of the following system of linear equation has infinite number of solution :
(a -1)x + 3y=2 ; 6x +(1-2b)y=6
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Answer 1

a1=3 ,a2=5 ,b1=

-a-1 ,b2=1-2a ,c1=2b-1 ,c2=3b

a1/a2= b1/b2= c1/c2

3/5=(-a-1)/1-2a=2b-1/3b

3/5=(-a-1)/1-2a

and. 3/5=2b-1/3b

3-6a= -5a-5

and. 9b=10b-5

a=8 and b=5

Answer 2

The values are a=3, b= -4.