document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97478>Question 97478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the solution to the system using elimination<BR>\n" );
document.write( "2x + 3y = 15<BR>\n" );
document.write( "5x + 3y = 12 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70923 by </B><A HREF=/tutors/aboutme.mpl?userid=mathslover><B>mathslover(157)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathslover><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=mathslover><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=70923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2x + 3y = 15  \r<BR>\n" );
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document.write( "3y = 15 -2x   (subtract 2x from both sides)\r<BR>\n" );
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document.write( "also given 5x + 3y = 12<BR>\n" );
document.write( "Replacing 3y = 15 -2x in the equation above we get \r<BR>\n" );
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document.write( "5x + 15 -2x = 12<BR>\n" );
document.write( "3x = -3        ( group the like terms at one side)<BR>\n" );
document.write( "x = -1\r<BR>\n" );
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document.write( "3y = 15 - 2*(-1)<BR>\n" );
document.write( "3y = 17\r<BR>\n" );
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document.write( "y=17/3\r<BR>\n" );
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document.write( "solution set <BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "y=17/3\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );