document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=279605>Question 279605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My homework is to graph systems of inequalities. The problem I'm having trouble with is: <BR>\n" );
document.write( "x-3y>(or equal to)-7<BR>\n" );
document.write( "5x+y<(or equal to)13<BR>\n" );
document.write( "x+6y>(or equal to)-9<BR>\n" );
document.write( "3x-2y>(or equal to)-7\r<BR>\n" );
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document.write( "I have successfully graphed the first two, but I cannot figure out the third or last one yet. I graphed what I thought the third one looked like, but it didn't make any sense to the problem. I set the y-intercept at -1 1/3 with a slope of -9/6 which reduces to -3/2.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203263 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=203263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> third equation is x + 6y >= -9\r<BR>\n" );
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document.write( "subtract x from both sides of this equation to get:\r<BR>\n" );
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document.write( "6y >= -x - 9\r<BR>\n" );
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document.write( "divide both sides of this equation by 6 to get:\r<BR>\n" );
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document.write( "y = (-1/6)x - (9/6)\r<BR>\n" );
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document.write( "graph the equation of y = -(1/6)x - (9/6)\r<BR>\n" );
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document.write( "the shaded area will be everything above or equal to that line.\r<BR>\n" );
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document.write( "any value of y above or on that line will be valid.\r<BR>\n" );
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document.write( "the graph will look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-%281%2F6%29%2Ax+-+%289%2F6%29%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C-%281%2F6%29%2Ax+-+%289%2F6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your slope should have been -(1/6), and not -(9/6).\r<BR>\n" );
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document.write( "you solve your fourth equation in a similar manner.\r<BR>\n" );
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document.write( "your fourth equation is 3x-2y >= -7.\r<BR>\n" );
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document.write( "subtract 3x from both sides of this equation to get:\r<BR>\n" );
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document.write( "-2y >= -3x - 7\r<BR>\n" );
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document.write( "multiply both sides of this equation by (-1) to get:\r<BR>\n" );
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document.write( "2y <= 3x + 7\r<BR>\n" );
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document.write( "note that multiplying both sides of an inequality reverses the inequality.\r<BR>\n" );
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document.write( "if 5 > 3, then -5 < -3 for example.\r<BR>\n" );
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document.write( "your equation is now:\r<BR>\n" );
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document.write( "2y <= 3x + 7\r<BR>\n" );
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document.write( "divide both sides of this equation by 2 to get:\r<BR>\n" );
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document.write( "y <= (3/2)*x + (7/2)\r<BR>\n" );
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document.write( "graph the equation of y = (3/2)*x + (7/2)\r<BR>\n" );
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document.write( "your shaded area will be everything below or on that line.\r<BR>\n" );
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document.write( "any value of y below or on that line will be valid.\r<BR>\n" );
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document.write( "a graph of that equation looks like this:\r<BR>\n" );
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