Question

For what value of k,do the equations 3x-y-8=0 and 6x-ky+16=0 represent parallel line

Answer 1

Answer:2

Step-by-step explanation:3/6=-1/-k

As we need to prove parallel line

1/2=1/k

K=2

Answer 2

k=2

Step-by-step explanation:

for equations to be parallel, they should satisfy the form,

a1 = b1 not equal to c1

a2 b2 c2

therefore, a1= 3, a2=6, b1= -1, b2= -k, c1= -8, c2=16

therefore, 3 = -1 not equal to -8

6 -k 16

therefore, 1 = 1 not equal to -1

2 k 2

therefore, considering, 1 = 1 ,

2 k

therefore, cross multiplying,

therefore, k=2

I hope it helps!!