document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=666413>Question 666413</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two numbers sum to 32. Twice the larger subtracted from the smaller is -22. Find the numbers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414475 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=414475\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Establish the variables<BR>\n" );
document.write( "x = larger number<BR>\n" );
document.write( "y = smaller number<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Given<BR>\n" );
document.write( "x+y = 32<BR>\n" );
document.write( "y-2x = -22<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Rearrange x+y=32 to x = 32-y and substitute into the second given equation<BR>\n" );
document.write( "y - 2(32-y) = -22<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Distribute the 2<BR>\n" );
document.write( "y - 64 - -2y = -22<BR>\n" );
document.write( "y - 64 + 2y = -22<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "3y = -22 + 64<BR>\n" );
document.write( "3y = 42<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Divide both sides by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28y+=+14%29 ALIGN=MIDDLE  ALT=\"highlight_green%28y+=+14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the smaller number<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Rearrange x+y=32 to y = 32-x and substitute into the second given equation<BR>\n" );
document.write( "32-x - 2x = -22<BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "-3x = -22 - 32<BR>\n" );
document.write( "-3x = -54<BR>\n" );
document.write( "Divide both sides by -3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x+=+18%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x+=+18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the larger number<BR>\n" );
document.write( "....<BR>\n" );
document.write( "Check <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cartoon%28%0D%0A14+%2B+18%2C%0D%0A32%29 ALIGN=MIDDLE  ALT=\"cartoon%28%0D%0A14+%2B+18%2C%0D%0A32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".....................<BR>\n" );
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document.write( "-Reading Boosters<BR>\n" );
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