document.write( "Question 364293: Determine the value of k for which the system of linear equations has no solution.
\n" ); document.write( "2x - y = -16
\n" ); document.write( "4x + ky= -3 \n" ); document.write( "

Algebra.Com's Answer #259905 by Fombitz(32388) $\"\"$ $\"About$

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No solution means the lines are parallel.
\n" ); document.write( "The left hand sides are multiples of each other.
\n" ); document.write( "Find the multiplier $\"Z\"$ so that,
\n" ); document.write( " $\"Z%282x-y%29=%284x%2Bky%29\"$
\n" ); document.write( "Solve for the $\"x\"$ and $\"y\"$ terms on both sides.
\n" ); document.write( " $\"x\"$ : $\"2Z=4\"$ , $\"Z=2\"$
\n" ); document.write( " $\"y\"$ : $\"-Z=k\"$ , $\"k=-Z=-2\"$
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\n" ); document.write( " $\"highlight%28k=-2%29\"$
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\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C2x%2B16%2C%284x%2B3%29%2F2%29\"$
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