document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255155>Question 255155</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the system of equations using the addition (elimination) method<BR>\n" );
document.write( "   1. 3x+2y = 14                     3x-2y = 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187456 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=187456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "1) 3x + 3y = 14<BR>\n" );
document.write( "2) 3x - 2y = 10\r<BR>\n" );
document.write( "\n" );
document.write( "Multiply both sides of equation 1) by 2 and equation 2) by 3. Then we have:\r<BR>\n" );
document.write( "\n" );
document.write( "1a) 6x + 6y = 28<BR>\n" );
document.write( "2a) 9x - 6y = 30\r<BR>\n" );
document.write( "\n" );
document.write( "Adding like terms of the two equations above we eliminate y:\r<BR>\n" );
document.write( "\n" );
document.write( "15x + 0y = 58<BR>\n" );
document.write( "15x = 58<BR>\n" );
document.write( "x = 58/15\r<BR>\n" );
document.write( "\n" );
document.write( "Substitue 58/15 for x in either equation 1) or 2) and then solve for y.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );