document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184210>Question 184210</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Answers should be written in sentence form. Explanations must be detailed and well-thought out. Include examples wherever possible.<BR>\n" );
document.write( "3. Explain why you might need to multiply each equation by a different number when solving a system of equations by ELIMINATION.<BR>\n" );
document.write( "Please and thank you very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138376 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=138376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> . Explain why you might need to multiply each equation by a different number when solving a system of equations by ELIMINATION<BR>\n" );
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document.write( "Elimination requires the coefficients of a variable in two equations<BR>\n" );
document.write( "are either the same or the negative on one another.  If one is not<BR>\n" );
document.write( "the multiple of the other, both must be multiplied by different<BR>\n" );
document.write( "numbers so the products are equal or one is the negative of the other.<BR>\n" );
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document.write( "Example:<BR>\n" );
document.write( "2x + 3y = 7<BR>\n" );
document.write( "5x - 2y = 5<BR>\n" );
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document.write( "You may chose to eliminate the x variable or the y variable.<BR>\n" );
document.write( "To eliminate the x variable, Multiply the 1st equation by 5<BR>\n" );
document.write( "and the 2nd equation by 2 to get:<BR>\n" );
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document.write( "10x + 15y = 35<BR>\n" );
document.write( "10x - 4y =  10<BR>\n" );
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document.write( "Subtracting will eliminate the x terms and leave you with an<BR>\n" );
document.write( "equation in y that can be solved.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );