Question

For what value of p the system of linear equation 2 x + 3 y is equals to p - 3 and 12 x + p y is equals to p has no solution

Answer 1

we have

2x+3y=p-3

12x+py=p

for no solution, we have

a1/a2=b1/b2

thereby, 2/12=3/p

1/6=3/p

p=18