document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=59852>Question 59852</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve by elimination:\r<BR>\n" );
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document.write( "2x+3y=21<BR>\n" );
document.write( "5x-2y=-14		  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #41107 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=41107\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by elimination:\r<BR>\n" );
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document.write( "E1:  2x+3y=21<BR>\n" );
document.write( "E2:  5x-2y=-14	<BR>\n" );
document.write( "Multiply E1 by 2 and E2 by 3.  Add the two equations and the y's are eliminated and you can solve for x.<BR>\n" );
document.write( "E1: 2(2x+3y)=2(21)---> 4x+6y=42<BR>\n" );
document.write( "E2: 3(5x-2y)=3(-14)--->15x-6y=-42<BR>\n" );
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document.write( "4x+6y=42<BR>\n" );
document.write( "15x-6y=-42<BR>\n" );
document.write( "__________<BR>\n" );
document.write( "19x+0=0<BR>\n" );
document.write( "19x=0<BR>\n" );
document.write( "19x/19=0/19<BR>\n" );
document.write( "x=0<BR>\n" );
document.write( "Substitute 0 in for x in either equation and solve for y.  I'm choosing E2, Why don't you use E1 for fun.  You'll find you get the same answer.	 <BR>\n" );
document.write( "5(0)-2y=-14<BR>\n" );
document.write( "0-2y=-14<BR>\n" );
document.write( "-2y/-2=-14/-2<BR>\n" );
document.write( "y=7<BR>\n" );
document.write( "The solution is (x,y)=(0,7)<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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