document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049501>Question 1049501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the vertices of the figure formed by the system of inequalities\r<BR>\n" );
document.write( "\n" );
document.write( "x + y &#8804; 2 		<BR>\n" );
document.write( "x - 2y &#8804; 8 		<BR>\n" );
document.write( "x + (-1/3)y &#8805; -2/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665060 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=665060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the coordinates of the vertices of the figure formed by the system of inequalities <BR>\n" );
document.write( "1st:: x + y &#8804; 2 <BR>\n" );
document.write( "2nd:: x - 2y &#8804; 8 <BR>\n" );
document.write( "3rd:: x + (-1/3)y &#8805; -2/3<BR>\n" );
document.write( "------<BR>\n" );
document.write( "1st:: y <= -x+2<BR>\n" );
document.write( "2nd: y >= (x-8)/2<BR>\n" );
document.write( "3rd:: y <= (x+(2/3))/(1/3)<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "Intersection of 1st and 2nd:: <BR>\n" );
document.write( "-x+2 = (x/2) - 4<BR>\n" );
document.write( "(3/2)x = 6<BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "y = -x+2 = -2<BR>\n" );
document.write( "Vertex:: (4,-2)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Intersection of 1st and 3rd::<BR>\n" );
document.write( "-x+2 = 3x + 2<BR>\n" );
document.write( "4x = 0<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "y = -x+2 = 2<BR>\n" );
document.write( "Vertex:: (0,2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Intersection of 2nd and 3rd::<BR>\n" );
document.write( "(x/2)-4 = 3x+2<BR>\n" );
document.write( "(5/2)x = -6<BR>\n" );
document.write( "x = -12/5 = -(2 2/5)<BR>\n" );
document.write( "y = 3x+2 = 3(-12/5)+(10/5) = -26/5 = -(5 1/5)<BR>\n" );
document.write( "Vertex:: (-12/5,-26/5)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );