document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141497>Question 141497</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130443980/algebrahomeworkh>Prentice hall algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve using two equations with two variables?\r<BR>\n" );
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document.write( "The sum of the digits of a two-digit number is 11.  If 27 is added to the number, the digits will be reversed.  Find the number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103130 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=103130\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the 10's digit<BR>\n" );
document.write( "Let y = the units digit<BR>\n" );
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document.write( "10x + y = \"the number\"<BR>\n" );
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document.write( "Just write an equation for what it says:<BR>\n" );
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document.write( "\"The sum of the digits of a two-digit number is 11.\"<BR>\n" );
document.write( "x + y = 11<BR>\n" );
document.write( "y = (11-y); use for substitution<BR>\n" );
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document.write( "\"If 27 is added to the number, the digits will be reversed.\"<BR>\n" );
document.write( "10x + y + 27 = 10y + x<BR>\n" );
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document.write( "10x - x + 27 = 10y - y<BR>\n" );
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document.write( "9x + 27 = 9y<BR>\n" );
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document.write( "Simplify, divide equation by 9<BR>\n" );
document.write( "x + 3 = y<BR>\n" );
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document.write( " Find the number.<BR>\n" );
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document.write( "Substitute (11-x) for y in the above equation:<BR>\n" );
document.write( "x + 3 = 11 - x<BR>\n" );
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document.write( "x + x = 11 - 3<BR>\n" );
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document.write( "2x = 8<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F2 ALIGN=MIDDLE  ALT=\"8%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 4<BR>\n" );
document.write( "Then<BR>\n" );
document.write( "y = 11  - y<BR>\n" );
document.write( "y = 7<BR>\n" );
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document.write( "Our number: 47<BR>\n" );
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document.write( "Check solution in the statement:<BR>\n" );
document.write( "\"If 27 is added to the number, the digits will be reversed.\"<BR>\n" );
document.write( "  47 + 27 = 74; confirms our solutions<BR>\n" );
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document.write( "did this make sense to you, not that hard, right?  </SPAN>\n" );
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