Question

Find the value of c for which the pair of equations cx - y = 2 and 6x-2y=3 will have infinitely many solution.​

Answer 1

Condition for infinitely many solutions

a1/a2 = b1/b2 = c1/c2

Step-by-step explanation:

the given lines are

cx - y = 2 and 6x -2y=3

Now, from equation 1,

a1= c. b1= -1. c1= -2

a2= 6. b2= -2. c2= -3

c/6= -1/-2 = -2/-3

Now, c/6=1/2 and c/6=2/3

c=3 and c= 4

Since c had many different values

and hence have infinitely many solutions