document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=336265>Question 336265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having problems understanding how to solve these equations as well as graph them. Here are the equations x+y=11 and x-y=1. Please help me understand so I can pass my algebra class.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #241757 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=241757\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=11 ALIGN=MIDDLE  ALT=\"x%2By=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<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( "Solve them algebraically by adding them together to eliminate <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By%2Bx-y=11%2B1 ALIGN=MIDDLE  ALT=\"x%2By%2Bx-y=11%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=12 ALIGN=MIDDLE  ALT=\"2x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=6%29 ALIGN=MIDDLE  ALT=\"highlight%28x=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then go back and use either equation to solve for <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2By=11 ALIGN=MIDDLE  ALT=\"6%2By=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can solve it graphically by plotting the graphs and looking for the intersection point.<BR>\n" );
document.write( "To plot each line, find the intercepts.<BR>\n" );
document.write( "To find the x-intercept, set y=0 and solve for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=11 ALIGN=MIDDLE  ALT=\"x%2By=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B0=11 ALIGN=MIDDLE  ALT=\"x%2B0=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=11 ALIGN=MIDDLE  ALT=\"x=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(11,0)<BR>\n" );
document.write( "Plot it.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+grid%281%29%2C%0D%0Acircle%2811%2C0%2C0.4%29%2C%0D%0Agraph%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find the y-intercept, set x=0 and solve for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=11 ALIGN=MIDDLE  ALT=\"x%2By=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2By=11 ALIGN=MIDDLE  ALT=\"0%2By=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=11 ALIGN=MIDDLE  ALT=\"y=11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(0,11)<BR>\n" );
document.write( "Plot it too.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+grid%281%29%2C%0D%0Acircle%2811%2C0%2C0.4%29%2C%0D%0Acircle%280%2C11%2C0.4%29%2C%0D%0Agraph%28300%2C300%2C+-2%2C12%2C-2%2C12%2C0%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Connect these 2 points with the line.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+grid%281%29%2C%0D%0Acircle%2811%2C0%2C0.4%29%2C%0D%0Acircle%280%2C11%2C0.4%29%2C%0D%0Agraph%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+11-x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find the x-intercept, set y=0 and solve for x.<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-0=1 ALIGN=MIDDLE  ALT=\"x-0=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=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1,0)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+grid%281%29%2C%0D%0Acircle%2811%2C0%2C0.4%29%2C%0D%0Acircle%280%2C11%2C0.4%29%2C%0D%0Acircle%281%2C0%2C0.4%29%2C%0D%0Agraph%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+11-x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To find the y-intercept, set x=0 and solve for y.<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=0-y=1 ALIGN=MIDDLE  ALT=\"0-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=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(0,-1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+grid%281%29%2C%0D%0Acircle%2811%2C0%2C0.4%29%2C%0D%0Acircle%280%2C11%2C0.4%29%2C%0D%0Acircle%281%2C0%2C0.4%29%2C%0D%0Acircle%280%2C-1%2C0.4%29%2C%0D%0Agraph%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+11-x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Connect these 2 points with the line.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C+-2%2C12%2C-2%2C12%2C+grid%281%29%2C%0D%0Acircle%2811%2C0%2C0.4%29%2C%0D%0Acircle%280%2C11%2C0.4%29%2C%0D%0Acircle%281%2C0%2C0.4%29%2C%0D%0Acircle%280%2C-1%2C0.4%29%2C%0D%0Acircle%286%2C5%2C0.3%29%2C%0D%0Acircle%286%2C5%2C0.2%29%2C%0D%0Acircle%286%2C5%2C0.1%29%2C%0D%0Acircle%286%2C5%2C0.05%29%2C%0D%0Agraph%28300%2C300%2C-2%2C12%2C-2%2C12%2C+11-x%2Cx-1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Guess what, the intersection point is (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >).<BR>\n" );
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document.write( "Now you have no excuses for not passing. </SPAN>\n" );
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