document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35968>Question 35968</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0134333381/algebrahomeworkh>Prentice Hall Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> They are asking me to describe a first step for solving each system using elimination. Then solve each system.\r<BR>\n" );
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document.write( "2r-3n=13<BR>\n" );
document.write( "8r+3n=7\r<BR>\n" );
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document.write( "5a+6b=54<BR>\n" );
document.write( "3a-3b=17\r<BR>\n" );
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document.write( "x+y=6<BR>\n" );
document.write( "x+3y=10\r<BR>\n" );
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document.write( "2p-5q=6<BR>\n" );
document.write( "4p+3q=-1\r<BR>\n" );
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document.write( "3b+10s=48<BR>\n" );
document.write( "7b+4s=54 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22073 by </B><A HREF=/tutors/aboutme.mpl?userid=elima><B>elima(1433)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=elima><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=22073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With the elimination process, you need to add the equations together to eliminate one of the variables;<BR>\n" );
document.write( "2r-3n=13<BR>\n" );
document.write( "8r+3n=7<BR>\n" );
document.write( "________<BR>\n" );
document.write( "10r=20<BR>\n" );
document.write( "r=2<BR>\n" );
document.write( "now plug 2 into one of the equations to find n;<BR>\n" );
document.write( "2(2)-3n=13<BR>\n" );
document.write( "-3n=13-4<BR>\n" );
document.write( "-3n=9<BR>\n" );
document.write( "n=-3\r<BR>\n" );
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document.write( "5a+6b=54<BR>\n" );
document.write( "3a-3b=17<BR>\n" );
document.write( "For this one we need to get one of the variables to be opposites, to do that we will multiply the whole equation by a number to make them opposite;<BR>\n" );
document.write( "lets multiplt the second equation by 2;<BR>\n" );
document.write( "(2)3a-3b=17<BR>\n" );
document.write( "6a-6b=34<BR>\n" );
document.write( "now we can add the two equations together to eliminate one variable;<BR>\n" );
document.write( "5a+6b=54<BR>\n" );
document.write( "6a-6b=34<BR>\n" );
document.write( "________<BR>\n" );
document.write( "11a=88<BR>\n" );
document.write( "a=8<BR>\n" );
document.write( "now plug 8 into one of the equations;<BR>\n" );
document.write( "5(8)+6b=54<BR>\n" );
document.write( "40+6b=54<BR>\n" );
document.write( "6b=14<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=14%2F6 ALIGN=MIDDLE  ALT=\"b=14%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "x+y=6<BR>\n" );
document.write( "x+3y=10<BR>\n" );
document.write( "x+y=6<BR>\n" );
document.write( "-x-3y=-10<BR>\n" );
document.write( "_________<BR>\n" );
document.write( "-2y=-4<BR>\n" );
document.write( "y=2<BR>\n" );
document.write( "x+2=6<BR>\n" );
document.write( "x=4\r<BR>\n" );
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document.write( "2p-5q=6<BR>\n" );
document.write( "4p+3q=-1<BR>\n" );
document.write( "(-2)2p-5q=6<BR>\n" );
document.write( "-4p+10=-12<BR>\n" );
document.write( "4p+3q=-1<BR>\n" );
document.write( "_________<BR>\n" );
document.write( "13q=-13<BR>\n" );
document.write( "q=1<BR>\n" );
document.write( "2p-5(1)=6<BR>\n" );
document.write( "2p-5=6<BR>\n" );
document.write( "2p=11<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=11%2F2 ALIGN=MIDDLE  ALT=\"p=11%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "3b+10s=48<BR>\n" );
document.write( "7b+4s=54<BR>\n" );
document.write( "(2)3b+10s=48<BR>\n" );
document.write( "(-5)7b+4s=54<BR>\n" );
document.write( "6b+20s=96<BR>\n" );
document.write( "-35b-20s=-270<BR>\n" );
document.write( "______________<BR>\n" );
document.write( "-29b=-174<BR>\n" );
document.write( "b=6<BR>\n" );
document.write( "3(6)+10s=48<BR>\n" );
document.write( "18+10s=48<BR>\n" );
document.write( "10s=30<BR>\n" );
document.write( "s=3<BR>\n" );
document.write( "Hope you understand, it's difficult to explain on the internet<BR>\n" );
document.write( "=) </SPAN>\n" );
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