document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732550>Question 732550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
document.write( "\n" );
document.write( "ax-y=5<BR>\n" );
document.write( "x+y=4\r<BR>\n" );
document.write( "\n" );
document.write( "Answer is a>5/4. Need to find \"a\" values that make x and y positive. Explanations are greatly appreciated!!\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447920 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=447920\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the system for x and y and get<BR>\n" );
document.write( "x=9/(a+1) and y=(4a-5)/(a+1).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C%3E-1 ALIGN=MIDDLE  ALT=\"a%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Checking the result of y, Either numerator and denominator both positive OR numerator and denominator both negative.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I did not yet finish complete analysis but:\r<BR>\n" );
document.write( "\n" );
document.write( "4a-5>0 AND a+1>0 means, through use of number line graphing, a>5/4<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "4a-5<0 AND a+1<0 means, again through care with a number line, a<-1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "As said, not yet finished.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Checking how \"a\" works for x, we must have the denominator, a+1 POSITIVE so we say, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2B1%3E0 ALIGN=MIDDLE  ALT=\"a%2B1%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E-1 ALIGN=MIDDLE  ALT=\"a%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "How does this fit with what was found for y?  The part before the \"OR\" is what is consistant (tentatively) for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E-1 ALIGN=MIDDLE  ALT=\"a%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The part after the \"OR\" is no good in this problem description.  Why?  because MUST <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E-1 ALIGN=MIDDLE  ALT=\"a%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now as long as we must have the conditions,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%3E5%2F4 ALIGN=MIDDLE  ALT=\"+a%3E5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E-1 ALIGN=MIDDLE  ALT=\"a%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the common set in these two is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E5%2F4 ALIGN=MIDDLE  ALT=\"a%3E5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a%3E5%2F4%29 ALIGN=MIDDLE  ALT=\"highlight%28a%3E5%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );