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

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If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is $\frac{15}{4}$. Explanation: Given equation of lines are 3x + 2ky –2 = 0 and 2x + 5y + 1 = 0 Here a1 =3 b1 = 2k c1 = –2 And a2 = 2 b2 = 5 c2 = 1 Since condition for parallel lines is a_1/a_2 = b_1/b_2 $\neq$ c_1/c_2 $\therefore$ $\frac{3}{2}$ = (2k)/2 $\Rightarrow$ k = $\frac{15}{4}$

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