For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel? Express your answer as a common fraction.
Put the equations into y = mx + b form m = slope if m is the same in both equations, they are parallel
2x + 3y = 4k
3y = -2x + 4k
y = -2/3 x + 4/3 k
x - 2ky=7
2ky = x-7
y = 1/(2k) x - 1/(2k) *7
Now for the lines to be parallel -2/3 = 1/(2k) solve for 'k'