document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24663>Question 24663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"solve each system by elimination, first clear denominators\"\r<BR>\n" );
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document.write( "(x+6)/5 + (2y-x)/10 = 1\r<BR>\n" );
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document.write( "(x+2)/4 + (3y+2)/5 = -3  \r<BR>\n" );
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document.write( "thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #13163 by </B><A HREF=/tutors/aboutme.mpl?userid=algebrapro18><B>algebrapro18(249)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=algebrapro18><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=13163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x+6)/5 + (2y-x)/10 = 1<BR>\n" );
document.write( "(x+2)/4 + (3y+2)/5 = -3<br>  \r<BR>\n" );
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document.write( "to clear the fractions from the first equation all you have to do is multiply the entire equation by 10.  you will end up with:<br>\r<BR>\n" );
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document.write( "2(x+6)+(2y-x)=10<br>\r<BR>\n" );
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document.write( "simplifying you get<br>\r<BR>\n" );
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document.write( "2x+12+2y-x=10<BR>\n" );
document.write( "x+2y+12=10<BR>\n" );
document.write( "x+2y=-2<br>\r<BR>\n" );
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document.write( "to clear the fractions from the secound equation all you have to do is multiply the entire equation by 20. you will end up with<br>\r<BR>\n" );
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document.write( "5(x+2)+4(3y+2)=-60<br>\r<BR>\n" );
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document.write( "simplifying you get<br>\r<BR>\n" );
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document.write( "5x+10+12y+8=-60<BR>\n" );
document.write( "5x+12y+18=-60<BR>\n" );
document.write( "5x+12y=-78<br>\r<BR>\n" );
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document.write( "now we multiply equation 1 by -5 and add the 2 equations together<br>\r<BR>\n" );
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document.write( "-5(x+2y=-2)<BR>\n" );
document.write( "-5x-10y=10<br>\r<BR>\n" );
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document.write( "5x+12y=-78<BR>\n" );
document.write( "-5x-10y=10<BR>\n" );
document.write( "============<BR>\n" );
document.write( "2y=-68<BR>\n" );
document.write( "y=-34<br>\r<BR>\n" );
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document.write( "now pluging that into equation 2<br>\r<BR>\n" );
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document.write( "5x+12(-34)=-78<BR>\n" );
document.write( "5x-408=-78<BR>\n" );
document.write( "5x=330<BR>\n" );
document.write( "x=66<br>\r<BR>\n" );
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document.write( "and that is the answer (66,-34) </SPAN>\n" );
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