document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238609>Question 238609</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I set this up? The larger of two numbers is 1 more than twice the smaller. Three times the larger exceeds 5 times the smaller by 10. Find the numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175313 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=175313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I set this up? The larger of two numbers is 1 more than twice the smaller. Three times the larger exceeds 5 times the smaller by 10. Find the numbers.<BR>\n" );
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document.write( "Let \"x\" be the larger.<BR>\n" );
document.write( "Let \"y\" be the smaller.<BR>\n" );
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document.write( "Equations:<BR>\n" );
document.write( "x = 2y+1<BR>\n" );
document.write( "2x -5y = 10<BR>\n" );
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document.write( "Substitute x = 2y+1 into the 2nd equation and solve for \"y\":<BR>\n" );
document.write( "2(2y+1) - 5y = 10<BR>\n" );
document.write( "-y = 8<BR>\n" );
document.write( "y = -8<BR>\n" );
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document.write( "Substitute y =-8 into x = 2y+1 to solve for \"x\":<BR>\n" );
document.write( "x = 2*-8+1 = -15<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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