document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715567>Question 715567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> elimination method<BR>\n" );
document.write( "a + 9b = 3<BR>\n" );
document.write( "a + 4b = -2  <BR>\n" );
document.write( " Please show me the procedures as well as the solution to the problem </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #439495 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=439495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Procedure:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Eliminate a to solve for b.<BR>\n" );
document.write( "The coefficients for a in both equations are the same.  Just subtract one equation from the other equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a + 9b = 3<BR>\n" );
document.write( "-a + -4b = -(-2)<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "0a+5b=5<BR>\n" );
document.write( "b=1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Eliminate b to solve for a<BR>\n" );
document.write( "You would want to multiply, in this case, both equations to get the same coefficient on the b terms.<BR>\n" );
document.write( "a + 9b = 3<BR>\n" );
document.write( "a + 4b = -2    \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Use 4 as a factor for the first one, and use 9 as a factor for the second one.<BR>\n" );
document.write( "4(a + 9b = 3)<BR>\n" );
document.write( "9(a + 4b = -2)\r<BR>\n" );
document.write( "\n" );
document.write( "You obtain<BR>\n" );
document.write( "4a+36b=12<BR>\n" );
document.write( "9a+36b=-18\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Next, subtract one equation from the other.  I will subtract the first from the second.<BR>\n" );
document.write( "9a-4a+36b-36b=-18-12<BR>\n" );
document.write( "5a+0=-30<BR>\n" );
document.write( "5a=30<BR>\n" );
document.write( "a=6  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Summary of result:  a=6 and b=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );