Question

If root 2 X + 3 y + 5 = 0,Kx+ 65 + 7 = 20 are parallel then the value of k is

Answer 1

Let 2x + 3y +5 = 0 ( equation 1 )
kx + 65 + 7 = 20 ( equation 2 )
2x + 3y +5 =0
2x + 3y = -5
5xy = -5
xy = -5/5
xy = -1
kx + 65 + 7 =20
k x -1 +65 +7 = 20
- k = 20-65-7
- k = -38
k= 38
hence the value of.. k is 38

Answer 2

Given two equations -

2x + 3y + 5 = 0

kx + 6y + 7 = 20 ______( 1 )

On further solving ( 1 )

kx + 6y + 7 - 20 = 0

kx + 6y - 13 = 0

a1 = 2, a2 = k, b1 = 3, b2 = 6, c1 = 7, c2 = - 13

Condition for parallel lines -

a1 / a2 = b1 / b2

Putting values

2 / k = 3 / 6

2 / k = 1 / 2

k = 2 × 2

k = 4

^^'