document.write( "Question 881995: find the value of k given that the lies 3x+ky=5 and 4x= y +3 are parallel \n" ); document.write( "

Algebra.Com's Answer #532658 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Parallel lines have the same slope
\n" ); document.write( "Put equations into the form
\n" ); document.write( " $\"+y+=+m%2Ax+%2B+b+\"$ and $\"+m+\"$ = slope
\n" ); document.write( "---------------------------------
\n" ); document.write( "(1) $\"+3x+%2B+k%2Ay+=+5+\"$
\n" ); document.write( "(2) $\"+4x+=+y+%2B+3+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "(1) $\"+k%2Ay+=+-3x+%2B+5+\"$
\n" ); document.write( "(1) $\"+y+=+-%283%2Fk%29%2Ax+%2B+5+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+y+=+4x+-+3+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "To make the slopes equal,
\n" ); document.write( " $\"+-3%2Fk+=+4+\"$
\n" ); document.write( " $\"+k+=+-3%2F4+\"$
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+y+=+-%283%2Fk%29%2Ax+%2B+5+\"$
\n" ); document.write( "(1) $\"+y+=+-%283%2F%28-3%2F4%29%29%2Ax+%2B+5+\"$
\n" ); document.write( "(1) $\"+y+=+4x+%2B+5+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

\n" );