document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016784>Question 1016784</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that -3 <= 7x + 2y <= 3$ and -4 <= y - x <= 4, what is the maximum possible value of x + y? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633224 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633224\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Multiply the first inequality by 2/3, and the second inequality by 5/3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F3%29%2A-3+%3C=+%2814%2F3%29%2Ax%2B%284%2F3%29%2Ay+%3C=%282%2F3%29%2A3 ALIGN=MIDDLE  ALT=\"%282%2F3%29%2A-3+%3C=+%2814%2F3%29%2Ax%2B%284%2F3%29%2Ay+%3C=%282%2F3%29%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%3C=%2814%2F3%29%2Ax%2B%284%2F3%29%2Ay++%3C=2 ALIGN=MIDDLE  ALT=\"-2+%3C=%2814%2F3%29%2Ax%2B%284%2F3%29%2Ay++%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--(A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29%2A-4+%3C=+%285%2F3%29%2Ay-%285%2F3%29%2Ax+%3C=%285%2F3%29%2A4 ALIGN=MIDDLE  ALT=\"%285%2F3%29%2A-4+%3C=+%285%2F3%29%2Ay-%285%2F3%29%2Ax+%3C=%285%2F3%29%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-20%2F3+%3C=%285%2F3%29%2Ay-%285%2F3%29%2Ax++%3C=20%2F3 ALIGN=MIDDLE  ALT=\"-20%2F3+%3C=%285%2F3%29%2Ay-%285%2F3%29%2Ax++%3C=20%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--(B)\r<BR>\n" );
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document.write( "Add inequalities A and B:, to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26%2F3+%3C=+3y+%2B+3x++%3C=26%2F3 ALIGN=MIDDLE  ALT=\"-26%2F3+%3C=+3y+%2B+3x++%3C=26%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide both sides by 3, to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-26%2F9+%3C=+y+%2B+x++%3C=26%2F9 ALIGN=MIDDLE  ALT=\"-26%2F9+%3C=+y+%2B+x++%3C=26%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore the maximum value of x+y is 26/9 </SPAN>\n" );
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