document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620217>Question 620217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> using substitution: x=-y-1 and x-y=-11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390045 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "Use the Substitution method to solve this system of equations: <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-y-1 ALIGN=MIDDLE  ALT=\"x=-y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=-11 ALIGN=MIDDLE  ALT=\"x-y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute -y-1 for x in the second equation. (We can make this move because the first equation tells us that whatever x is, it is equal to -y-1.)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=-11 ALIGN=MIDDLE  ALT=\"x-y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-y-1%29-y=-11 ALIGN=MIDDLE  ALT=\"%28-y-1%29-y=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Simplify by combining like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y-1=-11 ALIGN=MIDDLE  ALT=\"-2y-1=-11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y=-10 ALIGN=MIDDLE  ALT=\"-2y=-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute 5 for y in the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-y-1 ALIGN=MIDDLE  ALT=\"x=-y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-%285%29-1 ALIGN=MIDDLE  ALT=\"x=-%285%29-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-6 ALIGN=MIDDLE  ALT=\"x=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "According to our algebra, x=-6 and y=5. Thus the ordered pair (-6,5) is the solution to this system of equations. If you graphed these equations you would see two lines intersecting at (-6,5).<BR>\n" );
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document.write( "Last step, check the solution in both equations. (It's very east to make an error.)<BR>\n" );
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document.write( "x=-y-1 <BR>\n" );
document.write( "(-6)=-(5)-1<BR>\n" );
document.write( "-6=-6 <BR>\n" );
document.write( "Check!<BR>\n" );
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document.write( "x-y=-11<BR>\n" );
document.write( "(-6)-(5)=-11<BR>\n" );
document.write( "-11=-11<BR>\n" );
document.write( "Check!<BR>\n" );
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document.write( "Feel free to email me  if you still have questions about this.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com<BR>\n" );
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