Question

The value of k which the pair of linear equation 4x + 6y - 1 = 0 & 2x + ky - 7 = 0 represent parallel lines is ?

Answer 1

Hello,

The two equations are:-

4x +6y-1 = 0
2x +ky-7 =0

Now ,
for the lines being parallel
The relation between the coefficients should be :-
a¹/a²=b¹/b²≠c¹/c²

So,
a1/a2 = 4/2 =2
So,
6/k =2
Or k =3


Hope this will be helping you ✌️