document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55674>Question 55674</A>: <I><SPAN STYLE=\"word-break: break-all;\"> question: solve each of the following systems by graphing\r<BR>\n" );
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document.write( "3x-6y=9\r<BR>\n" );
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document.write( "x-2y=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37774 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=37774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> These equations are easier to graph if you put them into the slope-intercept form: y = mx+b\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-6y+=+9 ALIGN=MIDDLE  ALT=\"2x-6y+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add 6y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+6y%2B9 ALIGN=MIDDLE  ALT=\"2x+=+6y%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 9 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-9+=+6y ALIGN=MIDDLE  ALT=\"2x-9+=+6y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Finally, divide both sides by 6.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F6%29x+-+9%2F6+=+y ALIGN=MIDDLE  ALT=\"%282%2F6%29x+-+9%2F6+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F3%29x+-+3%2F2 ALIGN=MIDDLE  ALT=\"y+=+%281%2F3%29x+-+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+2y+=+3 ALIGN=MIDDLE  ALT=\"x+-+2y+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add 2y to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2y%2B3 ALIGN=MIDDLE  ALT=\"x+=+2y%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 3 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+3+=+2y ALIGN=MIDDLE  ALT=\"x+-+3+=+2y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Finally, divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29x+-+3%2F2+=+y ALIGN=MIDDLE  ALT=\"%281%2F2%29x+-+3%2F2+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F2%29x+-+3%2F2 ALIGN=MIDDLE  ALT=\"y+=+%281%2F2%29x+-+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The graphs are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C%281%2F3%29x-%283%2F2%29%2C%281%2F2%29x-%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-5%2C5%2C-5%2C5%2C%281%2F3%29x-%283%2F2%29%2C%281%2F2%29x-%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As you can see from the graph, the two lines intersect at the point (0, -2/3) so this is the solution.<BR>\n" );
document.write( "But also notice that both equations, in their slope-intercept form, have the same y-intercept (that's the b in y = mx+b) which is (0, -2/3). </SPAN>\n" );
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