Question

Answer this question plzz*zzz question no. 1 plzzz answer in the given attachment

Answer 1

Answer:

$\large k=\dfrac{15}{4}$

Step-by-step explanation:

Given :

3 x + 2 k y = 2  and 2 x + 5 y = -1      Lines are parallel.

We know that when lines are parallel then it equation has many solution.

We also know formula for many solution

$\large \dfrac{a_1}{a_2}= \dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}$

Comparing from given equation we get

$\large a_1=3 \ b_1=2k \ and \ c_1=-2\\\\\\\large a_2=2 \ b_2=5 \ and \ c_2=1$

Putting values in formula

$\large \dfrac{3}{2}=\dfrac{2k}{5}\neq \dfrac{-2}{1} \\\\\\\large \dfrac{2k}{5} =\dfrac{3}{2} \\\\\\\large 2k=\dfrac{15}{2} \\\\\\\large k=\dfrac{15}{4}$

Thus we get k = 15 / 4.