document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549769>Question 549769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the graphs below represent the graphical solution to the following system of equations?\r<BR>\n" );
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document.write( "3x – 4y = 32<BR>\n" );
document.write( "5x + 2y = 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358037 by </B><A HREF=/tutors/aboutme.mpl?userid=mathie123><B>mathie123(224)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathie123><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=358037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well I have have the graphs you have to choose from.... but I will show you how you could generate this graph:\r<BR>\n" );
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document.write( "Let's first look at 3x – 4y = 32.  We will isolate y to get it into y=mx+b form:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+%96+4y+=+32 ALIGN=MIDDLE  ALT=\"3x+%96+4y+=+32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-4y-32%2B4y=32-32%2B4y ALIGN=MIDDLE  ALT=\"3x-4y-32%2B4y=32-32%2B4y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-32=4y ALIGN=MIDDLE  ALT=\"3x-32=4y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2F4-32%2F4=y ALIGN=MIDDLE  ALT=\"3x%2F4-32%2F4=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%283%2F4%29%2Ax-8 ALIGN=MIDDLE  ALT=\"y=%283%2F4%29%2Ax-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And now we will do the same thing for 5x + 2y = 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+2y+=+10 ALIGN=MIDDLE  ALT=\"5x+%2B+2y+=+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x+%2B+2y-5x+=+10-5x ALIGN=MIDDLE  ALT=\"5x+%2B+2y-5x+=+10-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=+10-5x ALIGN=MIDDLE  ALT=\"2y=+10-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+10%2F2-%285%2F2%29%2Ax ALIGN=MIDDLE  ALT=\"y=+10%2F2-%285%2F2%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+5-%285%2F2%29%2Ax ALIGN=MIDDLE  ALT=\"y=+5-%285%2F2%29%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=+-%285%2F2%29%2Ax%2B5 ALIGN=MIDDLE  ALT=\"y=+-%285%2F2%29%2Ax%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remember that once you have the lines in y=mx+b form, you have a point (0,b) for each line and then we can use the slope to get another point.   <BR>\n" );
document.write( "After graphing both lines we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%283%2F4%29%2Ax-8%2C+-%285%2F2%29%2Ax%2B5%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%283%2F4%29%2Ax-8%2C+-%285%2F2%29%2Ax%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is the graph you are looking for-- notice that when you solve this system of equations, you are finding the point where these lines intersect.  <BR>\n" );
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document.write( "Hopefully that helps!<BR>\n" );
document.write( "Romans 5:8 </SPAN>\n" );
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