document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102508>Question 102508</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by addition or substitution.<BR>\n" );
document.write( "	–15x + 3y = 9<BR>\n" );
document.write( "	y = 3 + 5x \r<BR>\n" );
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document.write( "Please help me with this problem step by step if at all possible then maybe I can actually catch on, on how to do these problems.  THANK YOU!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74537 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=74537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x%2B3y=9 ALIGN=MIDDLE  ALT=\"-15x%2B3y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2B5x ALIGN=MIDDLE  ALT=\"y=3%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtitution means to plug the value of y from the second equation into the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x%2B3%283%2B5x%29=9 ALIGN=MIDDLE  ALT=\"-15x%2B3%283%2B5x%29=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x%2B9%2B15x=9 ALIGN=MIDDLE  ALT=\"-15x%2B9%2B15x=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Collecting the x's, we end up the tautology:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=9 ALIGN=MIDDLE  ALT=\"9=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is not much help to us.<BR>\n" );
document.write( "So, returning to the original equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x%2B3y=9 ALIGN=MIDDLE  ALT=\"-15x%2B3y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%2B5x ALIGN=MIDDLE  ALT=\"y=3%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracing 5x from both sides of the second equation, we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x+%2B+y+=+3 ALIGN=MIDDLE  ALT=\"-5x+%2B+y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Aligning the two linear equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-15x%2B3y=9 ALIGN=MIDDLE  ALT=\"-15x%2B3y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2By=3 ALIGN=MIDDLE  ALT=\"-5x%2By=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Dividing the first equation by 3, we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%2By=3 ALIGN=MIDDLE  ALT=\"-5x%2By=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, we see that we really do not have two equations. We have just one equation. The first and second are just different expressions of the same thing.<BR>\n" );
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