Question

Find k for which 5x + 10y – 2 = 0 and 10x + ky + 4 = 0 lines are parallel to each other.

Answer 1

Answer:

yes

Step-by-step explanation:

the lines are parallel to each other

Answer 2

Answer:-

• 5x+10y-2=0----(1)
• 10x+ky+1=0----(2)

Equations have no solutions

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

$\\ \sf\longmapsto \dfrac{5}{10}=\dfrac{10}{k}$

• Use cross multiplication

$\\ \sf\longmapsto 5k=10(10)$

$\\ \sf\longmapsto 5k=100$

$\\ \sf\longmapsto k=\dfrac{100}{5}$

$\\ \sf\longmapsto k=20$