document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207997>Question 207997</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of equations using the addition method<BR>\n" );
document.write( "7a+2b=13<BR>\n" );
document.write( "8a-3b=-1<BR>\n" );
document.write( "solution (?,?) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157330 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=157330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7a+2b=13<BR>\n" );
document.write( "8a-3b=-1<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Multiply the first equation by 3 and the second by 2 to get:<BR>\n" );
document.write( "21a+6b=39<BR>\n" );
document.write( "16a-6b=-2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now, add the two equations together:<BR>\n" );
document.write( "21a+6b=39<BR>\n" );
document.write( "16a-6b=-2<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "37a = 37<BR>\n" );
document.write( "a = 1 (solution for a)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Substitute the above into the first equation and solve for b:<BR>\n" );
document.write( "7a+2b=13<BR>\n" );
document.write( "7(1)+2b=13<BR>\n" );
document.write( "7+2b=13<BR>\n" );
document.write( "2b = 4<BR>\n" );
document.write( "b = 2 (solution for b)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, (a,b) = (1,2) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );