document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #256871 by robertb(5830) $\"\"$ $\"About$

You can put this solution on YOUR website!
Putting each equation in slope-intercept form, we get\r
\n" ); document.write( "\n" ); document.write( " $\"y+=+%28%28k%2B2%29%2F5%29x-8%2F5\"$ , and
\n" ); document.write( " $\"y+=+%28k%2F3%29x-3\"$ .
\n" ); document.write( "Since they're supposed to be paralle, their slopes must be equal:
\n" ); document.write( " $\"%28k%2B2%29%2F5+=+k%2F3\"$ ,
\n" ); document.write( " $\"3k%2B6+=+5k\"$ ,
\n" ); document.write( " $\"6+=+2k\"$ ,
\n" ); document.write( " $\"k+=+3\"$ .
\n" ); document.write( " \n" ); document.write( "

\n" );