document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405996>Question 405996</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, could you be so, so nice and help me PLEASE??? Thank you so much.<BR>\n" );
document.write( "Alena<BR>\n" );
document.write( "When balancing her checkbook, Allison made an error which caused her to show a balance that was $ 54.00 above the actual balance. She had accidently reversed the digits of the amount of one check. The sum of the digits of that check amount was 12.\r<BR>\n" );
document.write( "\n" );
document.write( "a) write two equations to represent this situation<BR>\n" );
document.write( "b) what is the best method to use to solve this system? Why?<BR>\n" );
document.write( "c) solve the equations to determine the true amount of the check. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286631 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x be ten's place, y in units place<BR>\n" );
document.write( "The correct check was 10x+y<BR>\n" );
document.write( "This was written as 10y=x<BR>\n" );
document.write( "..<BR>\n" );
document.write( "The error was +54<BR>\n" );
document.write( "Original amount - error amount =54\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The sum of the digits =12<BR>\n" );
document.write( "x+y=12<BR>\n" );
document.write( "10x+y-10y+x=54<BR>\n" );
document.write( "9x-9y=54.............1<BR>\n" );
document.write( "x+y=12..............2<BR>\n" );
document.write( "multiply (2) by 9<BR>\n" );
document.write( "we get<BR>\n" );
document.write( "9x+9y=108<BR>\n" );
document.write( "Add it to (1)<BR>\n" );
document.write( "18x=162<BR>\n" );
document.write( "x= 9<BR>\n" );
document.write( "x+y=12<BR>\n" );
document.write( "y=3\r<BR>\n" );
document.write( "\n" );
document.write( "Actual cheque = 93<BR>\n" );
document.write( "error check = 39<BR>\n" );
document.write( "difference = 54 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );