document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=206009>Question 206009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of k so that the line (2+k)x + (2-k)y = 15 has a slope of 3/2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #155579 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=155579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The goal here is to first get the standard equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Ax%2BBy=C ALIGN=MIDDLE  ALT=\"Ax%2BBy=C\"   DISABLED_style= \"max-width:90%; height:auto;\" > into the slope-intercept equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bk%29x+%2B+%282-k%29y+=+15 ALIGN=MIDDLE  ALT=\"%282%2Bk%29x+%2B+%282-k%29y+=+15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-k%29y+=+15-%282%2Bk%29x ALIGN=MIDDLE  ALT=\"%282-k%29y+=+15-%282%2Bk%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bk%29x ALIGN=MIDDLE  ALT=\"%282%2Bk%29x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282-k%29y+=+-%282%2Bk%29x%2B15 ALIGN=MIDDLE  ALT=\"%282-k%29y+=+-%282%2Bk%29x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-%282%2Bk%29x%2B15%29%2F%282-k%29 ALIGN=MIDDLE  ALT=\"y+=+%28-%282%2Bk%29x%2B15%29%2F%282-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-k ALIGN=MIDDLE  ALT=\"2-k\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate \"y\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-%28%282%2Bk%29%2F%282-k%29%29x%2B15%2F%282-k%29 ALIGN=MIDDLE  ALT=\"y+=+-%28%282%2Bk%29%2F%282-k%29%29x%2B15%2F%282-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction\r<BR>\n" );
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document.write( "Now the equation is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the slope is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=-%282%2Bk%29%2F%282-k%29 ALIGN=MIDDLE  ALT=\"m=-%282%2Bk%29%2F%282-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=15%2F%282-k%29 ALIGN=MIDDLE  ALT=\"b=15%2F%282-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Because we want the slope to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=3%2F2 ALIGN=MIDDLE  ALT=\"m=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the next step is to solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2=-%282%2Bk%29%2F%282-k%29 ALIGN=MIDDLE  ALT=\"3%2F2=-%282%2Bk%29%2F%282-k%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > for 'k'. I'll let you do that. </SPAN>\n" );
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