document.write( "Question 803383: how to find the value of k if the lines 2x-5=ky and (k+1)x=6y-3 have the same gradient. i don't know which formula should i apply can you please tell me the formulas by steps only i would like to calculate it by my own self. \n" ); document.write( "
Algebra.Com's Answer #484331 by mananth(16946)\"\" \"About 
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2x-5=ky and (k+1)x=6y-3 have same slopes\r
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\n" ); document.write( "\n" ); document.write( " 2x-5=ky
\n" ); document.write( "y= (2/k)x-5/k\r
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\n" ); document.write( "\n" ); document.write( "(k+1)x=6y-3\r
\n" ); document.write( "\n" ); document.write( "(k+1)x+3 =6y\r
\n" ); document.write( "\n" ); document.write( "(k+1)/6 x +1/2 = y\r
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\n" ); document.write( "\n" ); document.write( "the slopes of both lines are equal\r
\n" ); document.write( "\n" ); document.write( "2/k =(k+1)/6\r
\n" ); document.write( "\n" ); document.write( "12=k(k+1)\r
\n" ); document.write( "\n" ); document.write( "12=k^2+k\r
\n" ); document.write( "\n" ); document.write( "k^2+k-12=0
\n" ); document.write( "k^2+4k-3k-12=
\n" ); document.write( "k(k+4)-3(k+4)=0
\n" ); document.write( "(k+4)(k-3)=0\r
\n" ); document.write( "\n" ); document.write( "k=4 OR 3\r
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