Question

For what values of p will the following pair of linear equation have infinitely many solution
• px-4y = 3
• 6x-12y = 9

Answer 1

here is your answer is 2

Answer 2

Answer:

Step-by-step explanation

given equation

px-4y-3=0

6x-12y-19=0

here,

      a1= p , b1 = -4 and c1 = -3

      a2=6 , b2=-12 and c2= -19

in order to have infinitely many solutiona we must have ,

a1/a2 = b1/b2 = c1/c2

then, p/6=-4/-12=-3/-19

consider  p/6 = -4/-12

             ⇒  12p=24

             ⇒p=24/12

             ⇒p= 2

hope this helps you.