Question

Determine the values of a and b so that the following system of linear equations have infinitely many solutions:

(2a + 1)x + 3y - 5 = 0

3x + (b – 1)y – 2 = 0

Answer 1

For infinitely many solution

⇒ 2a – 1 = 15/2

⇒ a = 17/4

6 = 5b – 5

⇒ b = 11/5