document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210061>Question 210061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> together, two printers can print 7500 lines if the first printer prints for 2 minutes and the second prints for 1 minute. If the first prints for 1 minute and the second prints for 2 minute, they can print 9000 lines together. Find the number of lines per minute that each printer prints. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158807 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158807\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> together, two printers can print 7500 lines if the first printer prints for 2<BR>\n" );
document.write( " minutes and the second prints for 1 minute.<BR>\n" );
document.write( " If the first prints for 1 minute and the second prints for 2 minute, they can<BR>\n" );
document.write( " print 9000 lines together.<BR>\n" );
document.write( "Find the number of lines per minute that each printer prints.<BR>\n" );
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document.write( "Let x = printing rate of the 1st printer (lines/min)<BR>\n" );
document.write( "Let y = printing rate of the 2nd printer<BR>\n" );
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document.write( "2x + 1y = 7500; (1st printer prints for 2 minutes and the 2nd prints for 1 min.)<BR>\n" );
document.write( "1x + 2y = 9000; (1st printer prints for 1 minutes and the 2nd prints for 2 min.)<BR>\n" );
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document.write( "Use the 1st equation for substitution<BR>\n" );
document.write( "y = (7500-2x)<BR>\n" );
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document.write( "Substitute (7500-2x) for y in the 2nd equation<BR>\n" );
document.write( "1x + 2(7500-2x) = 9000<BR>\n" );
document.write( "1x + 15000 - 4x = 9000<BR>\n" );
document.write( "1x - 4x = 9000 - 15000<BR>\n" );
document.write( "-3x = -6000<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6000%29%2F%28-3%29 ALIGN=MIDDLE  ALT=\"%28-6000%29%2F%28-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +2000 line/min for the 1st printer<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Find the rate of the 2nd printer<BR>\n" );
document.write( "y = (7500 - 2(2000)<BR>\n" );
document.write( "y = 7500 - 4000<BR>\n" );
document.write( "y = 3500 line/min for the 2nd printer<BR>\n" );
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document.write( "Check solution in original 2nd equation:<BR>\n" );
document.write( "1x + 2y = 9000<BR>\n" );
document.write( "2000 + 2(3500) = 9000;  </SPAN>\n" );
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