Question

If lines given by 4x + 5ky = 10 and 3x + y = -1 are parallel, findk
2) 60
11​

Answer 1

$\textbf{Given:}$

$\textsf{Lines are 4x+5ky-10=0 and 3x+y+1=0 are parallel}$

$\textbf{To find:}$

$\textsf{The value of k}$

$\textbf{Solution:}$

$\mathsf{Slope\;of\;4x+5ky-10=0\;is\;m_1=\dfrac{-4}{5k}}$

$\mathsf{Slope\;of\;3x+y+1=0\;is\;m_2=\dfrac{-3}{1}=-3}$

$\textsf{Since the lines are parallel, their slopes will be equal}$

$\implies\mathsf{m_1=m_2}$

$\implies\mathsf{\dfrac{-4}{5k}=-3}$

$\implies\mathsf{k=\dfrac{-4}{-5{\times}3}}$

$\implies\mathsf{k=\dfrac{-4}{-15}}$

$\implies\boxed{\mathsf{k=\dfrac{4}{15}}}$

$\textbf{Find more:}}$

1.If the lines represented by 3x+2y+5=0 and kx-6y+4=0 are parallel, then k =

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2.For what value of a the system of linear equations 2x + 3y = 7 and ( a -1 )x + (a + 1)y = 3a + 1 represent parallel lines?​

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Answer 2

Answer:

answer is option c 4/15... hope it helps u