Question

For what positive values of p has infinity solutions ?
px+3y-(p-3)=0and 12x+py-p=0

Answer 1

px+3y-(p-3) = 0

a1 = p

b1 = 3

c1 = p-3

12x+py-p = 0

a2 = 12

b2 = p

c2 = p

since, it has infinite solutions, you can use the equation : a1/a2 = b1/b2 = c1/c2

p/12 = 3/p = p-3/p

p/12 = 3/p

p2 = 36

p = 6

So, the answer is 6.