document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140980>Question 140980</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0130442631/algebrahomeworkh>Prentice Hall Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How do I solve this system of equations using multiplication and addition method?\r<BR>\n" );
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document.write( "a/6 + b/4=5/2<BR>\n" );
document.write( "2a/3 - b/2=-2\r<BR>\n" );
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document.write( "Hope you can understand this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102641 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=102641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sure!<BR>\n" );
document.write( "Let's simplify 1st this eqn:<BR>\n" );
document.write( "a/6 + b/4=5/2<BR>\n" );
document.write( "a=(5/2 - b/4)/6<BR>\n" );
document.write( "a= 30/2 - 6b/4<BR>\n" );
document.write( "a= 15 - 3b/2 ------ mark eqn 1. oks<BR>\n" );
document.write( "Now, this value of \"a\" we substitute it to the other eqn but first let simplify it,<BR>\n" );
document.write( "2a/3 - b/2=-2 ----- mark eqn 2 oks<BR>\n" );
document.write( "becomes,<BR>\n" );
document.write( "b/2=2a/3 +2 , and we subsitute \"a\" as shown in eqn 1 here.<BR>\n" );
document.write( "So, b/2= 2(15 -3b/2)/3 +2<BR>\n" );
document.write( "b/2 = [2(30 - 3b)/2]/3 +2<BR>\n" );
document.write( "b/2 (30-3b)/3 +2<BR>\n" );
document.write( "b/2= (30-3b+6)/3<BR>\n" );
document.write( "3b=60-6b+12<BR>\n" );
document.write( "3b+9b=72<BR>\n" );
document.write( "b=8<BR>\n" );
document.write( "For \"a\", go back eqn 1: a=15 - 3(8)/2=15-12<BR>\n" );
document.write( "a=3 <BR>\n" );
document.write( "In doubt? Simply go back to your eqn 2 to check,<BR>\n" );
document.write( "2(3)/3 - (8/2) =-2<BR>\n" );
document.write( "2-4=-2<BR>\n" );
document.write( "-2=-2,  cool!<BR>\n" );
document.write( "Thank you, <BR>\n" );
document.write( "Jojo<BR>\n" );
document.write( " </SPAN>\n" );
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