Question

find the equation of line passing through point of intersection of lines x+y+1=0,2x-y+5=0​

Answer 1

,Line passing through L

1

and L

2

is given by L

1

+λL

2

⇒L:(x+y+1)+λ(2x−y+5)=0

⇒(1+2λ)x+(1−λ)y+(1+5λ)=0

It passes (5,−2)

⇒5+10λ−2+2λ+1+15λ=0

⇒17λ+4=0

⇒λ=

17

−4

⇒L:

17

9x

+

17

21

y−

17

3

=0

⇒3x+7y−1=0.