document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146258>Question 146258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find K if the given system of equations has infinite no of solutions.<BR>\n" );
document.write( "2x+ky=1+2y and kx+12y=3<BR>\n" );
document.write( "(1)-4  (2)6  (3)Either (1) or (2)   (4) none of these.\r<BR>\n" );
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document.write( "i have chosen (3). But theanswer givenis (2). How it could be..?? plz explain this...?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #106798 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=106798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find K if the given system of equations has infinite no of solutions.<BR>\n" );
document.write( "2x+ky=1+2y and kx+12y=3<BR>\n" );
document.write( "(1)-4 (2)6 (3)Either (1) or (2) (4) none of these. <BR>\n" );
document.write( "i have chosen (3). But the answer given is (2).<BR>\n" );
document.write( "2x+ky = 1+2y<BR>\n" );
document.write( "(k-2)y = 1-2x<BR>\n" );
document.write( "y = (2x-1)/(2-k)<BR>\n" );
document.write( "y = (2/2-k)x - 1/(2-k)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "kx + 12y = 3<BR>\n" );
document.write( "y = (-k/12)x + (1/4)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "slopes and intercepts must be the same<BR>\n" );
document.write( "2/(2-k) = -k/12<BR>\n" );
document.write( "-1/(2-k) = 1/4<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Solving the 2nd for \"k\" you get:<BR>\n" );
document.write( "2-k = -4<BR>\n" );
document.write( "k = 6<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "And that works in the slopes equation.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );