document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=513406>Question 513406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for (a,b,c,d)\r<BR>\n" );
document.write( "\n" );
document.write( "a+b+c=0<BR>\n" );
document.write( "b+c+d=1<BR>\n" );
document.write( "a+c+d=2<BR>\n" );
document.write( "a+b+d=3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343478 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=343478\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for (a,b,c,d)<BR>\n" );
document.write( "a + b + c = 0<BR>\n" );
document.write( "b + c + d = 1<BR>\n" );
document.write( "a + c + d = 2<BR>\n" );
document.write( "a + b + d = 3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Subtract the 2nd equation from the 1st equation<BR>\n" );
document.write( "0 + b + c + d = 1<BR>\n" );
document.write( "a + b + c + 0 = 0<BR>\n" );
document.write( "------------------- subtraction eliminates b and c<BR>\n" );
document.write( "-a + d = 1<BR>\n" );
document.write( "d = (a + 1)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Subtract the 2nd equation from the 3rd equation<BR>\n" );
document.write( "a + b + 0 + d = 3<BR>\n" );
document.write( "0 + b + c + d = 1<BR>\n" );
document.write( "--------------------subtraction eliminates b and d<BR>\n" );
document.write( "a - c = 2<BR>\n" );
document.write( "-c = -a + 2<BR>\n" );
document.write( "c = (a - 2)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Use the 3rd equation<BR>\n" );
document.write( "a + c + d = 2<BR>\n" );
document.write( "replace c and d, find a<BR>\n" );
document.write( "a + (a-2) + (a+1) = 2<BR>\n" );
document.write( "3a = -1 = 2<BR>\n" );
document.write( "3a = 2 + 1<BR>\n" );
document.write( "3a = 3<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "then<BR>\n" );
document.write( "c = a-2<BR>\n" );
document.write( "c = 1 - 2<BR>\n" );
document.write( "c = -1<BR>\n" );
document.write( "and <BR>\n" );
document.write( "d = a + 1<BR>\n" );
document.write( "d = 1 + 1<BR>\n" );
document.write( "d = 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find b using the 1st equation<BR>\n" );
document.write( "a + b + c = 0<BR>\n" );
document.write( "1 + b -1 = 0<BR>\n" );
document.write( "b = 0<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Summarize a=1, b=0, c=-1, d=2\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );