document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=111577>Question 111577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the sum of two numbers is 38. The second is 5 more than 2 times the first. What are 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 #81397 by </B><A HREF=/tutors/aboutme.mpl?userid=wgunther><B>wgunther(43)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=wgunther><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=81397\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let them be a and b. a+b=38. b-5=2a. Solve. <BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++1%5Ca+%2B+1%5Cb+=+38%2C%0D%0A++++-2%5Ca+%2B+1%5Cb+=+5+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++1%5Ca+%2B+1%5Cb+=+38%2C%0D%0A++++-2%5Ca+%2B+1%5Cb+=+5+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 1*b to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Aa+=+38+-+1%2Ab ALIGN=MIDDLE  ALT=\"1%2Aa+=+38+-+1%2Ab\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+38%2F1+-+1%2Ab%2F1 ALIGN=MIDDLE  ALT=\"a+=+38%2F1+-+1%2Ab%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2A%2838%2F1+-+1%2Ab%2F1%29+%2B+1%5Cb+=+5 ALIGN=MIDDLE  ALT=\"-2%2A%2838%2F1+-+1%2Ab%2F1%29+%2B+1%5Cb+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that b=27. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+38%2F1+-+1%2Ab%2F1 ALIGN=MIDDLE  ALT=\"a+=+38%2F1+-+1%2Ab%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a=11.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+a=11%2C+b=27+%29 ALIGN=MIDDLE  ALT=\"system%28+a=11%2C+b=27+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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