document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=142330>Question 142330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a + b = 43 and a + c = 30 and b + c = 55\r<BR>\n" );
document.write( "\n" );
document.write( "a is the same number in all equations<BR>\n" );
document.write( "b is the same number in all equations<BR>\n" );
document.write( "c is the same number in all equations\r<BR>\n" );
document.write( "\n" );
document.write( "what are a, b, and c\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103623 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=103623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a+b=43 or a=43-b<BR>\n" );
document.write( "a+c=30 or a=30-c now set these 2 equations<BR>\n" );
document.write( "43-b=30-c<BR>\n" );
document.write( "-b+c=30-43<BR>\n" );
document.write( "-b+c=-13<BR>\n" );
document.write( "b+c=55 now add these 2 equations<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "2c=42 <BR>\n" );
document.write( "c=42/2<BR>\n" );
document.write( "c=21 answer.<BR>\n" );
document.write( "a=30-21<BR>\n" );
document.write( "a=9 answer.<BR>\n" );
document.write( "9=43-b<BR>\n" );
document.write( "b=43-9<BR>\n" );
document.write( "b=34 answer.<BR>\n" );
document.write( "proofs:<BR>\n" );
document.write( "b+c=55<BR>\n" );
document.write( "34+21=55<BR>\n" );
document.write( "a+b=43<BR>\n" );
document.write( "9+34=43<BR>\n" );
document.write( "43=43<BR>\n" );
document.write( "a=c=30<BR>\n" );
document.write( "9+21=30<BR>\n" );
document.write( "30=30\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );