document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=256118>Question 256118</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve this .5x-2y=4 and 4y-x=-8 by graphing them? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188313 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=188313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Start with either one of the equations.\r<BR>\n" );
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document.write( "<b>Step 1:</b>  Select a value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.  It can be anything you want, but I suggest selecting a small integer. (in the case of your first equation, it will be convenient to select small multiples of 2)\r<BR>\n" );
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document.write( "<b>Step 2:</b>  Substitute the selected value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> in the equation, and then do the arithmetic to solve the equation for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">\r<BR>\n" );
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document.write( "<b>Step 3:</b>  Create an ordered pair <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(x,\,y\right)\"> using the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\"> you selected in Step 1 and the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\"> you calculated in Step 2.\r<BR>\n" );
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document.write( "<b>Step 4:</b>  Plot the ordered pair from Step 3 on your coordinate plane.\r<BR>\n" );
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document.write( "<b>Step 5:</b>  Repeat Steps 1 through 4 once more using a different value for <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">.\r<BR>\n" );
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document.write( "<b>Step 6:</b>  Draw a line through the two plotted points.\r<BR>\n" );
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document.write( "Go back and repeat all 6 steps for the other equation but use the same set of coordinate axes to graph the second equation.\r<BR>\n" );
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document.write( "Once you have graphed both lines, see where they intersect.  That is, <b><i>if</i></b> they intersect.  If you end up with two separate lines that do not intersect, then your solution set is the empty set.  If you end up with two lines that do intersect in one point, your solution set is the ordered pair representing that point of intersection.  If you end up with one line right on top of the other, then your solution set is the set of ordered pairs that satisfies either of the two equations.  Such a set has in infinite number of elements.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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