document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043524>Question 1043524</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x+y>3 <BR>\n" );
document.write( "ax+2y<-2<BR>\n" );
document.write( "In the system of inequalities, a is a constant. If the system has no solution, What is the value of a? <BR>\n" );
document.write( "A) -2<BR>\n" );
document.write( "B) -1<BR>\n" );
document.write( "C) 1<BR>\n" );
document.write( "D) 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658661 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x×y=3 and ax+2y=-2 are linear equations,<BR>\n" );
document.write( "so they graph as straight lines,<BR>\n" );
document.write( "If the lines do not have the same slope,<BR>\n" );
document.write( "They are not parallel, and<BR>\n" );
document.write( "they will intersect forming 4 angles.<BR>\n" );
document.write( "Then, one of those angles will ve the solution.<BR>\n" );
document.write( "If there is no solution,<BR>\n" );
document.write( "the lines must be parallel (same slope).<BR>\n" );
document.write( "The slope of x+y=3 <---> y=-×+3 is -1.<BR>\n" );
document.write( "The slope of ax+2y=-2 <---> 2y=-ax-2 <---> y=(-a/2)x-1 is -a/2.<BR>\n" );
document.write( "So, for the lines to be parallel,<BR>\n" );
document.write( "It must be 'a/2=-1 ---> a=2<BR>\n" );
document.write( "When a=2, the second inequality is<BR>\n" );
document.write( "2x+2y=-2 <---> x+y<-1,<BR>\n" );
document.write( "which cannot happen if x+y>3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );