document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163946>Question 163946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Plot the graph of the equations 3x - 8y = 5 and 4x - 2y = 11 and interpret the result.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120789 by </B><A HREF=/tutors/aboutme.mpl?userid=midwood_trail><B>midwood_trail(310)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=midwood_trail><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=120789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I will provide the steps for what to do and you can do the work. <BR>\n" );
document.write( "STEPS: <BR>\n" );
document.write( "1-Graph each equation on the xy-plane. <BR>\n" );
document.write( "2-Find the point where the two graphs meet or cross. <BR>\n" );
document.write( "You can easily see the point of intersection when using graph paper. <BR>\n" );
document.write( "Go get some graph paper. You can find free graphing paper online. <BR>\n" );
document.write( "If the two graphs meet, there will be one and ONLY ONE result or one solution. <BR>\n" );
document.write( "If the two graphs do not meet, there is no solution for this system of equations in two variables. \r<BR>\n" );
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document.write( "Understand? \r<BR>\n" );
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document.write( "I received your reply about not understanding the steps provided.\r<BR>\n" );
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document.write( "Plot the graph of the equations 3x - 8y = 5 and 4x - 2y = 11 and interpret the result. \r<BR>\n" );
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document.write( "I will show you how to graph one of the equations and you can follow my steps and solve the other equation.  How does that sound?\r<BR>\n" );
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document.write( "3x - 8y = 5\r<BR>\n" );
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document.write( "1-we isolate y.\r<BR>\n" );
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document.write( "-8y = -3x + 5\r<BR>\n" );
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document.write( "2-divide both sides by -8 to isolate y.\r<BR>\n" );
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document.write( "y = (-3x + 5)/-8\r<BR>\n" );
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document.write( "y = (3x/8) - (5/8)....This can be written as y = (3x - 5)/8\r<BR>\n" );
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document.write( "3-select 4 values (or more values) for x to find y values and make your points.\r<BR>\n" );
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document.write( "Let x = -1\r<BR>\n" );
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document.write( "y = (3(-1)- 5)/8\r<BR>\n" );
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document.write( "y = -8/8\r<BR>\n" );
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document.write( "y = -1\r<BR>\n" );
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document.write( "First point to plot: (-1, -1).\r<BR>\n" );
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document.write( "=====================\r<BR>\n" );
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document.write( "Let x = 0\r<BR>\n" );
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document.write( "y = (3(0) - 5)/8\r<BR>\n" );
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document.write( "y = -5/8\r<BR>\n" );
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document.write( "Our second point to plot: (0, -5/8)\r<BR>\n" );
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document.write( "=====================\r<BR>\n" );
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document.write( "Let x = 1\r<BR>\n" );
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document.write( "y = (3(1) - 5)/8\r<BR>\n" );
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document.write( "y = -2/8\r<BR>\n" );
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document.write( "y = -1/4\r<BR>\n" );
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document.write( "Our third point to plot: (1,-1/4)\r<BR>\n" );
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document.write( "======================\r<BR>\n" );
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document.write( "Let x = 2\r<BR>\n" );
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document.write( "y = (3(2) - 5)/8\r<BR>\n" );
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document.write( "y = 1/8\r<BR>\n" );
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document.write( "Our fourth point to plot: (2, 1/8)\r<BR>\n" );
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document.write( "Graph these points on the xy-plane.\r<BR>\n" );
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document.write( "Then do the same thing with the other equation given.\r<BR>\n" );
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document.write( "After plotting about 4 points (or more) for the other equation, look for a piece on both graphs where they meet or cross.  \r<BR>\n" );
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document.write( "This \"meeting place\" on the xy-plane will be your solution.\r<BR>\n" );
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document.write( "Got it?\r<BR>\n" );
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document.write( " </SPAN>\n" );
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