document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74603>Question 74603</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what point lies in the solution set for the following system:<BR>\n" );
document.write( "4x+y<1<BR>\n" );
document.write( "8y-3x>24 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53578 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=53578\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4x+y<1<BR>\n" );
document.write( "8y-3x>24<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "4x+y=1<BR>\n" );
document.write( "-3x+8y=4<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Multiply 1st equation by 8 to get:<BR>\n" );
document.write( "32x+8y=8<BR>\n" );
document.write( "-3x+8y=4<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Subtract to get:<BR>\n" );
document.write( "35x=4<BR>\n" );
document.write( "x=4/35<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Substitute to solve for \"y\"<BR>\n" );
document.write( "4(4/35)+y=1<BR>\n" );
document.write( "y = 35/35-16/35 = 19/35<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "The lines cross at (4/35,19/35)<BR>\n" );
document.write( "Sketch the line y=-4x+1  the point you want must be below it (less y value)<BR>\n" );
document.write( "such as (4/35,0)<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" );