Question

find the value of a and b for which the following system of linear equations has infinitely many solutions 3x(a+1)y = 2b-1, 5x+(1-2a)y =3b​

Answer 1

Answer:

3x−(a−1)y=2b−1.................(1)

5x+(1−2a)y=3b.................(2)

Here a1=3,b1=−(a+1) and c1=2b−1

Or a2=5,b2=(1−2a) and c2=3b

Give the system of equations have infinite solutions

a2

a1

=

b2

b1

=

c2

c1

5

3

=

(1−2a)

−(a+1)

⇒−5(a+1)=3(1−2a)

⇒−5a−5=3−6a

⇒a=8

5

3

=

3b

2b−1

⇒9b=10b−5

⇒b=5