For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel? Express your answer as a common fraction.

Filliqq Jul 18, 2020

#1**+1 **

Put the equations into y = mx + b form m = slope if m is the same in both equations, they are parallel

First one

2x + 3y = 4k

3y = -2x + 4k

y = -2/3 x + 4/3 k

Second one

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'

ElectricPavlov Jul 18, 2020