Question

So, k = 2.
2. If the lines given by 3x + 2ky = 2 and 2x + 5y +1 = 0
are parallel, then find the value of k.
תחררו​

Answer 1

Answer:

15/4

Step-by-step explanation:

   In standard form, y = mx + c, m represents slope.

In the given lines,

3x + 2ky = 2    ⇒ y = (2 - 3x)/2k

                       ⇒ y = 1/k - (3/2k)x

   Hence, slope = -3/2k

Similarly, for 2nd line:

2x + 5y + 1 = 0   ⇒ y = (-2/5)x - 1/5

             Slope = -2/5

Since lines are ||, slope is same.

-2/5 = -3/2k

    ⇒ -2(2k) = -3(5)

   ⇒ 4k = 15   ⇒ k = 15/4