Question

if the lines given by 3x+2ky and 2x+5y is parallel then the value of k is​

Answer 1

Answer:

3x + 2ky - 2 = 0 … (1)

2x + 5y + 1 = 0 … (2)

Now, convert 1 and 2 into y = mx + c form where m is the slope.

for 1,

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

for 2,

y = (-2/5)x - (1/5)

So now for both lines to be parallel, (-3/2k) must be equal to (-2/5)

Solving for k, we get {k = 15/4}

Answer 2

Answer:

k=15/4

Step-by-step explanation:

slope =-b/a

slopes must be equal    (since they are parallel)

   so,     -2k/3=-5/2

Hence,      k=15/4

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