document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140983>Question 140983</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 by using multiplication with the addition method?\r<BR>\n" );
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document.write( "1/5(x+2y)=-2<BR>\n" );
document.write( "x/4-3y/2=15/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102687 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102687\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do I solve this system of equations by using multiplication with the addition method?<BR>\n" );
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document.write( "1/5(x+2y) = -2<BR>\n" );
document.write( "Multiply by 5 to get rid of the denominator<BR>\n" );
document.write( "x + 2y = 5(-2)<BR>\n" );
document.write( "x + 2y = -10<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F4 ALIGN=MIDDLE  ALT=\"x%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%29%2F2 ALIGN=MIDDLE  ALT=\"%283y%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F2 ALIGN=MIDDLE  ALT=\"15%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply equation by 4 to get rid of the denominator, resulting:<BR>\n" );
document.write( "x - 2(3y) = 2(15)<BR>\n" );
document.write( "x - 6y = 30<BR>\n" );
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document.write( "Multiply the 1st equation by -1 and add to the above equation<BR>\n" );
document.write( "-x - 2y = +10<BR>\n" );
document.write( "+x - 6y = +30<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "0x - 8y = +40<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2F%28-8%29 ALIGN=MIDDLE  ALT=\"40%2F%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = -5<BR>\n" );
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document.write( "Find x using x - 6y = 30:<BR>\n" );
document.write( "x - 6(-5) = 30<BR>\n" );
document.write( "x + 30 = 30<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( ";<BR>\n" );
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document.write( "Check solution using the 1st original equation:<BR>\n" );
document.write( "1/5(x + 2y) = -2<BR>\n" );
document.write( "1/5(0 + 2(-5) = <BR>\n" );
document.write( "1/5 * -10 = -2 </SPAN>\n" );
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