document.write( "Question 893360: determine the value of k so that the lines kx-y=-1/3 and 3y=1-6x will intersect at one point \n" ); document.write( "

Algebra.Com's Answer #541222 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The lines can't be parallel, or the same line repeated
\n" ); document.write( "(1) $\"+k%2Ax+-+y+=+-1%2F3+\"$
\n" ); document.write( "Add $\"+y+\"$ to both sides
\n" ); document.write( "(1) $\"+k%2Ax+=+y+-+1%2F3+\"$
\n" ); document.write( "Add $\"+1%2F3+\"$ to both sides
\n" ); document.write( "(1) $\"+k%2Ax+%2B+1%2F3++=+y+\"$
\n" ); document.write( "Write it the other way
\n" ); document.write( "(1) $\"+y+=+k%2Ax+%2B+1%2F3+\"$
\n" ); document.write( "----------------------
\n" ); document.write( "(2) $\"+3y+=+1+-+6x+\"$
\n" ); document.write( "Switch the terms on the right
\n" ); document.write( "(2) $\"+3y+=+-6x+%2B+1+\"$
\n" ); document.write( "Divide both sides by $\"+3+\"$
\n" ); document.write( "(2) $\"+y+=+-2x+%2B+1%2F3+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "These lines will be the same line
\n" ); document.write( "repeated if $\"+k+=+-2+\"$
\n" ); document.write( "For any other value of $\"+k+\"$ ,
\n" ); document.write( "the lines will meet at one point
\n" ); document.write( "---------------------------
\n" ); document.write( " $\"+k+%3C+-2+\"$ or $\"+k+%3E+-2+\"$
\n" ); document.write( "is the answer\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );