document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=110512>Question 110512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system by graphing. Show your graph.\r<BR>\n" );
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document.write( "x + y = 3\r<BR>\n" );
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document.write( "x + y = -1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #80586 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=80586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:\r<BR>\n" );
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document.write( "solve the system by graphing<BR>\n" );
document.write( "x+y = 3<BR>\n" );
document.write( "x+y =-1\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "To graph the system of equation manually, first you have to rewrite the given equation as a function of 'x' only, as follows,\r<BR>\n" );
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document.write( "y = 3 - x and\r<BR>\n" );
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document.write( "y = -1-x (That is shifting all the terms other than y to the other side)\r<BR>\n" );
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document.write( "Now consider the first equation, y = 3 - x \r<BR>\n" );
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document.write( "Now give few values for x and find out the corresponding values of y\r<BR>\n" );
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document.write( "that is,\r<BR>\n" );
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document.write( "when x = 0, y = 3-0 = 3\r<BR>\n" );
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document.write( "when x = 1, y = 3-1 = 2\r<BR>\n" );
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document.write( "when x = -1, y = 3-(-1) = 4\r<BR>\n" );
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document.write( "when x = 2, y = 3-2 = 1\r<BR>\n" );
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document.write( "when x = -2, y = 3-(-2) =5\r<BR>\n" );
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document.write( "when x = 3, y = 3-3 = 0\r<BR>\n" );
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document.write( "when x = -3, y = 3-(-3) = 6\r<BR>\n" );
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document.write( "and so on.........\r<BR>\n" );
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document.write( "Thus you have points,\r<BR>\n" );
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document.write( "(0,3), (1,2), (-1,4), (2,1), (-2,5), (3,0), (-3,6) etc.\r<BR>\n" );
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document.write( "Now plot these points on the graph paper, then you will get a straight line.\r<BR>\n" );
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document.write( "Similarly take the second equation and follow the same procedure and get the straight line.\r<BR>\n" );
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document.write( "Then the graph will come like this...<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+800%2C+-9%2C+9%2C+-10%2C+10%2C+3-x%2C+-1-x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+800%2C+800%2C+-9%2C+9%2C+-10%2C+10%2C+3-x%2C+-1-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From the graph you can see that, these lines are parallel, that is they will not intersect anywhere. So these two equations dont have solutions.<BR>\n" );
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document.write( "Hope you found the explanation useful.\r<BR>\n" );
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document.write( "Regards.\r<BR>\n" );
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document.write( "Praseena. </SPAN>\n" );
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