document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18388>Question 18388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is my question:\r<BR>\n" );
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document.write( "If the lines 3x + Ky = 2 and 6x - 5y - 1 = 0 are parallel, what is the value of K?\r<BR>\n" );
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document.write( "I  figured out that the slope of 6x - 5y - 1 = 0 is 6/5 and know that the slope is the same for the other equation since they are parallel, but I don't know how to apply it to the 1st equation.\r<BR>\n" );
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document.write( "Please Help!<BR>\n" );
document.write( "Thanks!<BR>\n" );
document.write( "Sandy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8795 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=8795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, you need to write both equations in the slope-intercept form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+mx+%2B+b ALIGN=MIDDLE  ALT=\"y+=+mx+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%2B+Ky+=+2 ALIGN=MIDDLE  ALT=\"3x+%2B+Ky+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 3x from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ky+=+-3x+%2B+2 ALIGN=MIDDLE  ALT=\"Ky+=+-3x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by K<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28-3%2FK%29x+%2B+2%2FK ALIGN=MIDDLE  ALT=\"+y+=+%28-3%2FK%29x+%2B+2%2FK\"   DISABLED_style= \"max-width:90%; height:auto;\" > The slope is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28-3%2FK%29 ALIGN=MIDDLE  ALT=\"m+=+%28-3%2FK%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+-+5y+-+1+=+0 ALIGN=MIDDLE  ALT=\"6x+-+5y+-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 5y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x+-+1+=+5y ALIGN=MIDDLE  ALT=\"6x+-+1+=+5y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%286%2F5%29x+-+1%2F5 ALIGN=MIDDLE  ALT=\"y+=+%286%2F5%29x+-+1%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > The slope is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+6%2F5 ALIGN=MIDDLE  ALT=\"m+=+6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the lines are parallel, the slopes must be equal, as you have correctly noted.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2FK%29+=+6%2F5 ALIGN=MIDDLE  ALT=\"%28-3%2FK%29+=+6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve for K. Multiply both sides by K.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+=+6K%2F5 ALIGN=MIDDLE  ALT=\"-3+=+6K%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15+=+6K ALIGN=MIDDLE  ALT=\"-15+=+6K\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-15%29%2F6+=+K ALIGN=MIDDLE  ALT=\"%28-15%29%2F6+=+K\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K+=+%28-5%2F2%29 ALIGN=MIDDLE  ALT=\"K+=+%28-5%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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