document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=287035>Question 287035</A>: <I><SPAN STYLE=\"word-break: break-all;\"> two hamburgers and one bagel cost $4.82.<BR>\n" );
document.write( "At the same price, one hamburger and<BR>\n" );
document.write( "two bagels cost $3.70. How much does<BR>\n" );
document.write( "each hamburger and each bagel cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208126 by </B><A HREF=/tutors/aboutme.mpl?userid=brucewill><B>brucewill(101)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=brucewill><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=208126\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = number of hamburgers<BR>\n" );
document.write( "Let y = number of bagels\r<BR>\n" );
document.write( "\n" );
document.write( "2x + y = 482<BR>\n" );
document.write( "x + 2y = 370<BR>\n" );
document.write( "--- multiply second equation by 2<BR>\n" );
document.write( "2x + y = 482<BR>\n" );
document.write( "2x + 4y = 740<BR>\n" );
document.write( "--- subtract second equation from first<BR>\n" );
document.write( "-3y = -258<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = 86; substitute into first equation:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "2x + 86 = 482<BR>\n" );
document.write( "2x = 396<BR>\n" );
document.write( "x = 198<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Proof:  2*(198) + 86 = 396 + 86 = 482<BR>\n" );
document.write( "198 + 2(86) = 198 + 172 = 370<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );