document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184303>Question 184303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help:\r<BR>\n" );
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document.write( "My question is on Graphing a System of Linear Equations.\r<BR>\n" );
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document.write( "The system is:<BR>\n" );
document.write( "x + y =6<BR>\n" );
document.write( "2y - x = 18\r<BR>\n" );
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document.write( "According to my book, The equation x + y = 6 passes through (6,0) and (0,6)<BR>\n" );
document.write( "                      The equation 2y - x = 18 passes through (-18,0) and (0,9)\r<BR>\n" );
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document.write( "What I am confused about is how did they come up with -18 for the second equation where they stated that the equation 2y - x = 18 passes through (-18,0) and (0,9)?\r<BR>\n" );
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document.write( "I need to know how to get these points with the Graphical Solution Method.\r<BR>\n" );
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document.write( "Thank You  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138338 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=138338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ 2y - x = 18\">\r<BR>\n" );
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document.write( "Remember that ordered pairs are of the form (<i>x</i>,<i>y</i>).  If the graph of an equation passes through a point, then the coordinates of that point (the <i>x</i> and <i>y</i> in the ordered pair) must make the equation a true statement.  So then what is the value of <i>x</i> when <i>y</i> = 0?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ 2(0) - x = 18\ \ \Rightarrow\ \ -x=18\ \ \Rightarrow\ \ x = -18\">\r<BR>\n" );
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document.write( "The other 3 points were derived in the same way, just by substituting zero for the appropriate variable.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ x + 0 = 6\">\r<BR>\n" );
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document.write( "So <i>x</i> = 6 when <i>y</i> = 0 and the point (6,0) is on the line.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ 0 + y = 6\">\r<BR>\n" );
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document.write( "So <i>y</i> = 6 when <i>x</i> = 0 and the point (0,6) is on the line.\r<BR>\n" );
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document.write( "and for the other equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \ 2y + 0 = 18 \ \ \Rightarrow\ \ y = 9\">\r<BR>\n" );
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document.write( "So <i>y</i> = 9 when <i>x</i> = 0 and the point (0,9) is on the line.\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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