Option B is correct since both the lines given in option B have same slope so both the lines do not intersect each other and hence have no common solution.
The given equations are of the form
ax + by = c ......(1)
Slope for the equation of line is given by [tex](\dfrac{-a}{b} )[/tex]
We can clearly see that in option B the lines given are
4x + 2y = 12 .......(2)
20x + 10y = 30....... (3)
Slope of equation (2)
[tex](\dfrac{-4}{2} )= -2[/tex]
Similarly slope of equation (3)
[tex](\dfrac{-20}{10} )= -2[/tex]
Which concludes that both are parallel to each other.
Since parallel lines can not have any common solution so they never intersect each other. Hence option B is correct.
For more information about the parallel lines please follow the link below :
https://brainly.com/question/24231863
