document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=678373>Question 678373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"determine the solution to the system of equations graphically y=_1/3x-2 x+3y=9\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #421387 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=421387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x-2 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y intercept is -2, plot (0, -2)<BR>\n" );
document.write( "x intercept is when y = 0<BR>\n" );
document.write( "0 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x+-+2 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( "-6 = x, so plot (-6,0)<BR>\n" );
document.write( "Draw a line through the intercepts<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x+3y = 9<BR>\n" );
document.write( "3y = -x + 9<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x+%2B+9%2F3 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x+%2B+9%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x+%2B+3 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y intercept is 3, plot (0, 3)<BR>\n" );
document.write( "x intercept is when y = 0<BR>\n" );
document.write( "0 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x+%2B+3 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-3 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >x<BR>\n" );
document.write( "9 = x, so plot (9,0)<BR>\n" );
document.write( "Draw a line through the intercepts<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Because they have the same slope there will be not solution.<BR>\n" );
document.write( "The lines will never cross since they are parallel.<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C12%2C-10%2C10%2C%28-1%2F3%29x-2%2C+%28-1%2F3%29x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C12%2C-10%2C10%2C%28-1%2F3%29x-2%2C+%28-1%2F3%29x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "To confrim algebraically, set equations equal to each other<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x+-+2+=+%28-1%2F3%29x+%2B+3 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x+-+2+=+%28-1%2F3%29x+%2B+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3%29x+%2B+%281%2F3%29x+-+2+=+3 ALIGN=MIDDLE  ALT=\"%28-1%2F3%29x+%2B+%281%2F3%29x+-+2+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3C%3E3 ALIGN=MIDDLE  ALT=\"-2%3C%3E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The system is inconsistent.<BR>\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
document.write( "Website: www.MyHomeworkAnswers.com <BR>\n" );
document.write( "Wanting for others what we want for ourselves.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );