document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=65654>Question 65654</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each of the following systems by graphing.<BR>\n" );
document.write( "	2x – y = 4<BR>\n" );
document.write( "	2x –y = 6<BR>\n" );
document.write( "Solve each of the following systems by graphing.<BR>\n" );
document.write( "	X –2y = 8<BR>\n" );
document.write( "	3x –2y = 12<BR>\n" );
document.write( "Solve each of the following systems by graphing.<BR>\n" );
document.write( "	3x –6y = 9<BR>\n" );
document.write( "	X –2y  = 3<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 #46336 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=46336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. 2x – y = 4	\r<BR>\n" );
document.write( "\n" );
document.write( "   2x –y = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ANSWER:\r<BR>\n" );
document.write( "\n" );
document.write( "FIRST OF ALL REWRITE THESE EQUATIONS IN TERMS OF X,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "==> 2x – 4 = y	\r<BR>\n" );
document.write( "\n" );
document.write( "     2x –6 =  y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now give arbitrary values for x and find corresponding values of y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using these values plot the graph for these two equations.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the graph comes like this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x-4%2C+2x-6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x-4%2C+2x-6%29+\"   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( "<BR>\n" );
document.write( "\n" );
document.write( " Since two graphs are parellel, these two equations have no solution.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2.  X –2y = 8\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "   3x –2y = 12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Follow the same procedure as above,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we have equations,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = x/2 -4  and\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = (3/2)x - 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now find out values of y corresponding the values of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Using these values plot the graph...\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the graph comes 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+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F2+-4%2C+%283%2F2%29x-6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F2+-4%2C+%283%2F2%29x-6%29+\"   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( "<BR>\n" );
document.write( "\n" );
document.write( "Here two lines intersect at a point.  Draw lines perpendicular to x axis and y axis.\r<BR>\n" );
document.write( "\n" );
document.write( "At X axis we have the point 2 and on the Y axis we have -3\r<BR>\n" );
document.write( "\n" );
document.write( "So solution for these equations is ( 2, -3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3. 3x –6y = 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "   X –2y = 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Here equations become,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = (1/2)x - 3/2 and\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y =(x/2) - (3/2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Find out values of x and y and plot the graph.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then the graph cpmes 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+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F2%29x-3%2F2%2C+%28x%2F2%29-%283%2F2%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( "\n" );
document.write( "Here we can see that both the lines overlap each other, <BR>\n" );
document.write( "that means two equations represent the same line.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope you Understood.\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( "praseenakos@yahoo.co.in\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );