Question

The pair of equations x + ky + 5 = 0 and – 3x – 6y +1 =0 has no solution. Find the

value k.​

Answer 1

Answer:

k = 2

Step-by-step explanation:

Two lines are parallel if their slopes are the same and y-intercepts are different.

y = $m_{1}$ x + $b_{1}$

y = $m_{2}$ x + $b_{2}$

$m_{1}$ = $m_{2}$ and $b_{1}$ ≠ $b_{2}$

~~~~~~~~~~~~

y = - $\frac{1}{k}$ x - $\frac{5}{k}$ ....... (1)

y = - $\frac{1}{2}$ x + $\frac{1}{6}$ ....... (2)

- $\frac{1}{k}$ = - $\frac{1}{2}$ ⇒ k = 2

and

- $\frac{5}{2}$ ≠ $\frac{1}{6}$

Answer 2

Answer:

refer to the attachment