Question

Find The value of k for which the pair of linear equations 4x+6y-1=0 and 2x+ky-7=0 represent parallel lines​

Answer 1

$k = 3$

$\bold{solution}$

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

for parallel lines

$\frac{4}{2} = \frac{6}{k} \\ {\fbox {\fbox \red {\fbox \orange{k = 3}}}}$

Answer 2

Answer:

If they Will represent parallel lines then

a1/a2=b1/B2 is not equal to c1/c2

Here a1=4,b1=6,c1=-1

a2=2,b2=k,c2=-7

=4/2=6/k

=2=6/k

=k=6/2=3