document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082404>Question 1082404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using solving by elimination, what are the possible numbers you could multiply the following system by to eliminate a variable?\r<BR>\n" );
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document.write( "{2x-3y=5    }<BR>\n" );
document.write( "{-3x+7y=12} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696474 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=696474\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using solving by elimination, what are the possible numbers you could multiply the following system by to eliminate a variable? <BR>\n" );
document.write( "{2x-3y=5 }<BR>\n" );
document.write( "{-3x+7y=12}<BR>\n" );
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document.write( "One way is to multiply the first equation by 3 and the 2nd equation by 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6x+-+9y+=+15+ ALIGN=MIDDLE  ALT=\"+6x+-+9y+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-6x+%2B14y+=+24+ ALIGN=MIDDLE  ALT=\"+-6x+%2B14y+=+24+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Adding them together eliminates x:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++0x+%2B+5y+=+39+ ALIGN=MIDDLE  ALT=\"++0x+%2B+5y+=+39+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  —>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+5+%2B+3y+=+25%2F5%2B3%2839%2F5%29+=+142%2F5+ ALIGN=MIDDLE  ALT=\"+2x+=+5+%2B+3y+=+25%2F5%2B3%2839%2F5%29+=+142%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ==>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+71%2F5+ ALIGN=MIDDLE  ALT=\"+x+=+71%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=71%2F5+ ALIGN=MIDDLE  ALT=\"+x=71%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=39%2F5+ ALIGN=MIDDLE  ALT=\"+y=39%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "—<BR>\n" );
document.write( "Check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+-+3y+=+2%2A%2871%2F5%29+-+3%2839%2F5%29+=+142%2F5+-+117%2F5+=+25%2F5+=+5+ ALIGN=MIDDLE  ALT=\"+2x+-+3y+=+2%2A%2871%2F5%29+-+3%2839%2F5%29+=+142%2F5+-+117%2F5+=+25%2F5+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (ok) \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );