document.write( "Question 666292: Given 2x+3y=8 and 4x-Ky=12, find the value for K so that
\n" ); document.write( "1. The lines will be parallel
\n" ); document.write( "2. The lines will be perpendicular \n" ); document.write( "

Algebra.Com's Answer #416914 by ReadingBoosters(3246) $\"\"$ $\"About$

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2x + 3y = 8
\n" ); document.write( "3y = -2x + 8
\n" ); document.write( "y = $\"-2%2F3\"$ x + $\"8%2F3\"$
\n" ); document.write( "Slope is $\"-2%2F3\"$
\n" ); document.write( "...
\n" ); document.write( "4x - Ky = 12
\n" ); document.write( "Ky = 4x - 12
\n" ); document.write( "y = $\"4%2FK\"$ x - $\"12%2FK\"$
\n" ); document.write( "...
\n" ); document.write( "Parallel line
\n" ); document.write( " $\"4%2FK+=+-2%2F3\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "4(3) = K(-2)
\n" ); document.write( "12 = -2K
\n" ); document.write( " $\"highlight_green%28K+=+-6%29\"$ in a parallel line
\n" ); document.write( "...
\n" ); document.write( "Perpendicular line
\n" ); document.write( " $\"4%2FK+=+3%2F2\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "4(2) = K(3)
\n" ); document.write( "8 = 3K
\n" ); document.write( " $\"highlight_green%28K+=+8%2F3%29\"$ in a perpendicular line
\n" ); document.write( "ЕЕЕ
\n" ); document.write( "Delighted to help.
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