document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90785>Question 90785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by graphing.<BR>\n" );
document.write( "	x + 2y = 4<BR>\n" );
document.write( "	x + 2y = –2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65876 by </B><A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><B>praseenakos@yahoo.com(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=praseenakos@yahoo.com><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=praseenakos@yahoo.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=65876\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Solve the system by graphing.<BR>\n" );
document.write( "	x + 2y = 4<BR>\n" );
document.write( "	x + 2y = –2\r<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you are doing it in a graph paper,  what you have to do is,\r<BR>\n" );
document.write( "\n" );
document.write( "Rewrite the given equations in terms of x as follows.\r<BR>\n" );
document.write( "\n" );
document.write( " x + 2y = 4\r<BR>\n" );
document.write( "\n" );
document.write( "==> y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%284-x%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%284-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ------------(1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x + 2y = –2\r<BR>\n" );
document.write( "\n" );
document.write( "==> y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%28-2-x%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%28-2-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > -----------------(2)\r<BR>\n" );
document.write( "\n" );
document.write( "Now put some arbitrary values for x in the (1) and (2) and find out the corresponding y values.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "For(1),  when x = 0, y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%284-0%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%284-0%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x = 1, y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%284-1%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%284-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F2 ALIGN=MIDDLE  ALT=\"3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When x = 2, y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%284-2%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%284-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F2 ALIGN=MIDDLE  ALT=\"2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now plot this values on  the graph paper.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Similarly find out x and y values for the second equation and plot the graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the graphs will come like this....\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F2%29%284-x%29+%2C+%281%2F2%29%28-2-x%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here you can see that the lines are parallel...that means they do not have solutions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope you found the explanation useful.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Regards.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Praseena. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );