Processing math: 100%
 
+0  
 
0
327
3
avatar

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

 Aug 7, 2022
 #1
avatar+113 
+1

I got this in GeoGebra

 Aug 7, 2022
 #2
avatar+2668 
0

Multiplying the second equation by 2 gives us 2x4ky=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=34 

 Aug 7, 2022
 #3
avatar+33658 
+1

I'd do it as follows:

 

 Aug 8, 2022

1 Online Users