For what value of are the lines and parallel? Express your answer as a common fraction.

Guest Aug 7, 2022

#2**0 **

Multiplying the second equation by 2 gives us \(2x - 4ky = 14\)

If the equations are parallel, they never intersect, meaning the system has no solutions.

So we have the equation \(3y = -4ky\), and solving the equation gives us \(k = \color{brown}\boxed{-{3 \over 4}}\)

BuilderBoi Aug 7, 2022