document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=232463>Question 232463</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I hope i picked the right catagory. Can you walk me through this problem please? It is with two lines instead of the one I have been learning past weeks. <BR>\n" );
document.write( "Solve the system of equations by graphing. Then classify the system.\r<BR>\n" );
document.write( "\n" );
document.write( "x+y=13<BR>\n" );
document.write( "x-y=-3\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you, you have helped me so many times, certainly the most helpful to us out here trying to figure this stuff out! dsunflower </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #171789 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=171789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+13 ALIGN=MIDDLE  ALT=\"x%2By+=+13\"   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+=+-3 ALIGN=MIDDLE  ALT=\"x-y+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > We can eliminate the y-variable by adding these two equations.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+10 ALIGN=MIDDLE  ALT=\"2x+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+5%29 ALIGN=MIDDLE  ALT=\"highlight%28x+=+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute this value of x into either one of the two given equations to find the value of y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+13 ALIGN=MIDDLE  ALT=\"x%2By+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute x = 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2By+=+13 ALIGN=MIDDLE  ALT=\"5%2By+=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y+=+8%29 ALIGN=MIDDLE  ALT=\"highlight%28y+=+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solution is: (5, 8) and the system \"consistent\" since it has at least one solution.<BR>\n" );
document.write( "You could also have solved this by graphing the two given equations. The \"solution\" is the point of intersection of the two lines (5, 8).<BR>\n" );
document.write( "Let's look at the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C15%2C-5%2C15%2C-x%2B13%2Cx%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C15%2C-5%2C15%2C-x%2B13%2Cx%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );