Question

for what value of p the given system of linear equations represent parallel lines x-2y=7 6y =px-5​

Answer 1

Answer:

ANSWER

px+2y−5=0

3x+y−1=0

Here a

1

=p,b

1

=2,c

1

=−5 and a

2

=3,b

2

=1,c

2

=−1

The given pair of linear equation has unique solution if

a

2

a

1



=

b

2

b

1

⇒

3

p



=

1

2

⇒p



=6

Hence the given pair of linear equation has unique solution for all real value of p except 6.