document.write( "Question 314481: determine the value of k for which the system of linear equations has no solution:
\n" ); document.write( "2x-y=3 ; 4x+ky=4. \n" ); document.write( "

Algebra.Com's Answer #224845 by vleith(2983) $\"\"$ $\"About$

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$\"2x+-y+=+3\"$ double this
\n" ); document.write( " $\"4x+-+2y+=+6\"$
\n" ); document.write( " $\"4x+%2B+ky+=+4\"$ subtract this equation from the one above
\n" ); document.write( " $\"%28-2+-k%29y+=+2\"$
\n" ); document.write( " $\"y+=+-2%2F%282%2Bk%29\"$
\n" ); document.write( "if k = -2, then the denominator is 0. And so is undefined. Implies no solution\r
\n" ); document.write( "\n" ); document.write( "Check your answer
\n" ); document.write( " $\"2x+-+y+=+3\"$ double this
\n" ); document.write( " $\"4x+-+2y+=+6\"$
\n" ); document.write( " $\"4x+-2y+=+4\"$
\n" ); document.write( "This cannot be true, since 6 does not equal 4 \n" ); document.write( "

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