document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1184566>Question 1184566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find k so that the line through (5,-2) and(k,2) is parallel to 16x+21y=42 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #815228 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=815228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "It is rather strange that two tutors make the same calculational mistake:  One made the error at the highlighted parts -- \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%283%2C3%2C+%282+-+-+2%29%2Fgreen%28%28k+-+5%29%29%2C+%22=%22%2C+-+16%2F21%2C+4%2Fred%28%28k+-+2%29%29%2C+%22=%22%2C+-+16%2F21%2C+1%2Fred%28%28k+-+2%29%29%2C+%22=%22%2C+-+4%2F21%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That said, a correct solution is as follows:\r<BR>\n" );
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document.write( "Since the line is supposed to be parallel, it must be of the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x+%2B+21+y+=+C ALIGN=MIDDLE  ALT=\"16x+%2B+21+y+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for some constant C.\r<BR>\n" );
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document.write( "Since (5,-2) is on this line, ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2A5+%2B+21%2A-2+=+C ALIGN=MIDDLE  ALT=\"16%2A5+%2B+21%2A-2+=+C\"   DISABLED_style= \"max-width:90%; height:auto;\" >   ===> C = 38.\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x+%2B+21+y+=+38 ALIGN=MIDDLE  ALT=\"16x+%2B+21+y+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is the desired parallel line.\r<BR>\n" );
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document.write( "Since (k,2) is also on this line, ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16%2Ak+%2B+21%2A2+=+38 ALIGN=MIDDLE  ALT=\"16%2Ak+%2B+21%2A2+=+38\"   DISABLED_style= \"max-width:90%; height:auto;\" >   ===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28k+=+-1%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28k+=+-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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