Question

if a pair of linear equation 3x +2ky=2 and 2x+5y+1=0 are parallel to each other, then the value of 'K'​

Answer 1

SOLUTION

GIVEN

The pair of linear equation 3x +2ky=2 and 2x+5y+1=0 are parallel to each other

TO DETERMINE

The value of k

EVALUATION

Here it is given that the pair of linear equation 3x +2ky=2 and 2x+5y+1=0 are parallel to each other

So the given pair of lines are

3x +2ky=2 - - - - - (1)

2x+5y+1=0 - - - - - -(2)

Since they are parallel

They have the same slope

$\displaystyle \sf{ - \frac{3}{2k} = - \frac{ 2}{5} }$

$\displaystyle \sf{ \implies \frac{3}{2k} = \frac{ 2}{5} }$

$\displaystyle \sf{ \implies 4k = 15}$

$\displaystyle \sf{ \implies k = \frac{15}{4} }$

FINAL ANSWER

$\displaystyle \sf{ k = \frac{15}{4} }$

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Answer 2

Step-by-step explanation:

Final Answer is

$k = \frac{15}{4}$