Question

For what value of k, do the equation 3x - y + 8 = 0 and 6x - ky = -16 represent coincident lines?

Answer 1

Answer:

2

Step-by-step explanation:

k=2

3/6=1/k=8/16

k=2

Answer 2

For the lines to be coincident, the condition to be satisfied is:

$\tt{\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} = \frac{c_{1}}{c_{2}}}$

Here, $\tt{a_{1} = 3}$

$\tt{a_{2} = 6}$

$\tt{b_{1} = -1}$

$\tt{b_{2} = -k}$

$\tt{c_{1} = 8}$

$\tt{c_{2} = 16}$

For the value of k:

$\tt{\frac{3}{6} = \frac{-1}{-k} = \frac{8}{16}}$

=> k = 2