document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=401001>Question 401001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve <BR>\n" );
document.write( "x-5y=36 <BR>\n" );
document.write( "2x+y=-16  ?<BR>\n" );
document.write( "with the substitution. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #283792 by </B><A HREF=/tutors/aboutme.mpl?userid=confused_in_algebra2><B>confused_in_algebra2(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=confused_in_algebra2><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=confused_in_algebra2><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=283792\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hey there. :)<BR>\n" );
document.write( "Okay, so what we are going to do in order to solve this system is multiply the <BR>\n" );
document.write( "top equation (x-5y=36) by a negative 2. The reason that we are doing that is to<BR>\n" );
document.write( "eliminate the x's when we add the two equations together.\r<BR>\n" );
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document.write( "So, when you multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5y=36 ALIGN=MIDDLE  ALT=\"x-5y=36\"   DISABLED_style= \"max-width:90%; height:auto;\" > by a -2, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B10y=-72 ALIGN=MIDDLE  ALT=\"-2x%2B10y=-72\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, add your two equations together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%2B10y=-72 ALIGN=MIDDLE  ALT=\"-2x%2B10y=-72\"   DISABLED_style= \"max-width:90%; height:auto;\" >+<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2By=-16 ALIGN=MIDDLE  ALT=\"2x%2By=-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11y=-88 ALIGN=MIDDLE  ALT=\"11y=-88\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To get y by itself, we must divide both sides by 11. 11/11=1 and -88/11=-8<BR>\n" );
document.write( "Therefore, y=-8.<BR>\n" );
document.write( "Now, substitue the y value in the first equation to get your x value.<BR>\n" );
document.write( "x-5(-8)=36<BR>\n" );
document.write( "x-40=36<BR>\n" );
document.write( "Add 40 to both sides to get x by itself.<BR>\n" );
document.write( "x=76<BR>\n" );
document.write( "Original problem: x-5y=36. Substitue x and y value to check solution.<BR>\n" );
document.write( "76-(5*8)=36<BR>\n" );
document.write( "76-40=36<BR>\n" );
document.write( "36=36 :)\r<BR>\n" );
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document.write( "Hope this helped. Don't just copy down everything that I did though, because I could have made a mistake. <BR>\n" );
document.write( "Good luck! :) </SPAN>\n" );
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