Question

If lines 3x + 2 ky +2 and 2x +5y +1 = 0
are parallel then k=
​

Answer 1

Step-by-step explanation:

3/2=2k/5

15=4k

k=15/4

Answer 2

Answer:

3x+2ky+2=0 => 3x+2= -2ky => y= -3x/2k -1/k

So the slope of the line is -3/2k.

2x+5y+1=0 => 2x+1= -5y => y = -2x/5 -1/5. The slope of this line is -2/5. So since both these lines are parallel =>

$- \frac{3}{2k} = - \frac{2}{5} = > 15 = 4k = > k = \frac{15}{4}$

Hope it helps you.