SOLUTION: find the value of k so that the two given lines will be parallel: (k+2)x-5y=8 and kx+3y=9.

Algebra ->  Linear-equations -> SOLUTION: find the value of k so that the two given lines will be parallel: (k+2)x-5y=8 and kx+3y=9.      Log On


   

Question 360032: find the value of k so that the two given lines will be parallel: (k+2)x-5y=8 and kx+3y=9.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Putting each equation in slope-intercept form, we get
y+=+%28%28k%2B2%29%2F5%29x-8%2F5, and
y+=+%28k%2F3%29x-3.
Since they're supposed to be paralle, their slopes must be equal:
%28k%2B2%29%2F5+=+k%2F3,
3k%2B6+=+5k,
6+=+2k,
k+=+3.