document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=825009>Question 825009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 51. If twice the smaller number is subtracted from the larger number, the result is 18. Find the two numbers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496935 by </B><A HREF=/tutors/aboutme.mpl?userid=y6n3o9p4><B>y6n3o9p4(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=y6n3o9p4><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=y6n3o9p4><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=496935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = the smaller number, and y = the larger number.\r<BR>\n" );
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document.write( "Here is the problem written as a pair of equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By+=+51 ALIGN=MIDDLE  ALT=\"x%2By+=+51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-2x+=+18 ALIGN=MIDDLE  ALT=\"y-2x+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "One method that can be used to solve this is the system of elimination. Subtract the second equation from the first one to isolate the x variable.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+33 ALIGN=MIDDLE  ALT=\"3x+=+33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+11 ALIGN=MIDDLE  ALT=\"x+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, plug the number into one of the two equations.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11%2By+=+51 ALIGN=MIDDLE  ALT=\"11%2By+=+51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 11 from both sides to isolate the y variable: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+40 ALIGN=MIDDLE  ALT=\"y+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You can check your answer by plugging the numbers into the other equation. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40-22+=+18 ALIGN=MIDDLE  ALT=\"40-22+=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The smaller number is 11, and the larger number is 40. </SPAN>\n" );
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