document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48963>Question 48963</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Spike averaged 45 mph driving from Rochester to Syracuse and 49 mph driving from Syracuse to Albany.  If he drove a total of 237 miles in 5 hours, then how far is it from Syracuse to Albany?                                                                                    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #32438 by </B><A HREF=/tutors/aboutme.mpl?userid=cowess><B>cowess(34)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cowess><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=32438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let's assume it's x miles from Rochester to Syracuse <BR>\n" );
document.write( "and               y miles from Syracuse to Albany<BR>\n" );
document.write( "the question wants to know y.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%0D%0Ax%2F45%2By%2F49=5%2C%0D%0Ax%2By=237%29 ALIGN=MIDDLE  ALT=\"system%28%0D%0Ax%2F45%2By%2F49=5%2C%0D%0Ax%2By=237%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "we're looking for y, so let's get rid of x first<BR>\n" );
document.write( "multiply both sides of the first equation by 45<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28%0D%0Ax%2B45y%2F49=5%2A45%2C%0D%0Ax%2By=237%29 ALIGN=MIDDLE  ALT=\"system%28%0D%0Ax%2B45y%2F49=5%2A45%2C%0D%0Ax%2By=237%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "subtract the first equation from the second.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-x%29%2B%28y-45%2F49y%29=237-5%2A45 ALIGN=MIDDLE  ALT=\"%28x-x%29%2B%28y-45%2F49y%29=237-5%2A45\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F49%29y=237-225 ALIGN=MIDDLE  ALT=\"%284%2F49%29y=237-225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=12%2A%2849%2F4%29=147 ALIGN=MIDDLE  ALT=\"y=12%2A%2849%2F4%29=147\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );