Question

for what value of p will the following pair of linear equations have infinitely many solutions (p-3)x+3y=p & px+py=12​

Answer 1

It will have infinitely many solutions when the two lines become coincident.

For coincidence,

(p-3)/p=3/p=p/12

Solve this and you will get your answer.

Answer 2

REFER TO ATTATCHMENT FOR YOUR ANSWER