document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148321>Question 148321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> COULD SOME ONE HELP? SOLVE EACH SYSTEM OF SIMULTANEOUS EQUATIONS BY USING THE LINEAR COMBINATIONS METHOD.  1. 9x+3y=33  5x-y=13  solution       2. x+3y=6  2x-3y=9  solution   3. 11x-5y=4  16x=20+12y  solution   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108711 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=108711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. <BR>\n" );
document.write( "9x+3y=33 <BR>\n" );
document.write( "5x-y=13 <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Multiply thru 2nd by 3 to get:<BR>\n" );
document.write( "15y-3y=39<BR>\n" );
document.write( "Add that to 1st to get:<BR>\n" );
document.write( "24y = 72<BR>\n" );
document.write( "y = 3<BR>\n" );
document.write( "Substitute that into 2nd to solve for \"x\":<BR>\n" );
document.write( "5x-3=13<BR>\n" );
document.write( "5x=16<BR>\n" );
document.write( "x =16/5<BR>\n" );
document.write( "--------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "2. <BR>\n" );
document.write( "x+3y=6 <BR>\n" );
document.write( "2x-3y=9 <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Add 1st and 2nd to get:<BR>\n" );
document.write( "3x = 15<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Substitute that into 1st to solve for \"y\":<BR>\n" );
document.write( "5 + 3y = 6<BR>\n" );
document.write( "3y = 1<BR>\n" );
document.write( "y = 1/3<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "3. <BR>\n" );
document.write( "11x-5y=4 <BR>\n" );
document.write( "16x=20+12y <BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Rearrange:<BR>\n" );
document.write( "11x-5y = 4<BR>\n" );
document.write( "16x-12y = 20<BR>\n" );
document.write( " --------------<BR>\n" );
document.write( "Multiply thru 1st by 12 ;Multiply thru 2nd by 5 to get:<BR>\n" );
document.write( "132x-60y = 48<BR>\n" );
document.write( "80x-60y = 100<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Subtract 2nd from 1st to get:<BR>\n" );
document.write( "52x = -52<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Substitute into 11x-5y=4 to solve for \"y\":<BR>\n" );
document.write( "-11-5y=4<BR>\n" );
document.write( "5y = -15<BR>\n" );
document.write( "y = -3<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );