document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=846985>Question 846985</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to help my kid with homework, but need to understand how to do it myself.  The question is solve each system by graphing and check your solution.  Example:             y = 2x    and    y = -2x + 8<BR>\n" );
document.write( "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 #510044 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=510044\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's what the plots of these 2 <BR>\n" );
document.write( "equations look like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-8%2C+8%2C+-8%2C+16%2C+2x%2C+-2x+%2B+8+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-8%2C+8%2C+-8%2C+16%2C+2x%2C+-2x+%2B+8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The way you plot each line is to pick<BR>\n" );
document.write( "a value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that will give you a point on the line ( x,y )<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "For example, say you're plotting<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-2x+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+-2x+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll pick <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-1+ ALIGN=MIDDLE  ALT=\"+x+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-2%2A%28-1%29+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+-2%2A%28-1%29+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+2+%2B+8+ ALIGN=MIDDLE  ALT=\"+y+=+2+%2B+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+10+ ALIGN=MIDDLE  ALT=\"+y+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so, you have the point ( -1, 10 ) on the line<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Just keep doing this with small whole numbers<BR>\n" );
document.write( "for each of the lines, and you should end up <BR>\n" );
document.write( "with 2 lines that look like my plots<BR>\n" );
document.write( "Hope this helps<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );