document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81569>Question 81569</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help.\r<BR>\n" );
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document.write( "The sum if two numbers is 35. Their difference is 13. 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 #58407 by </B><A HREF=/tutors/aboutme.mpl?userid=tutor_paul><B>tutor_paul(519)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutor_paul><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=tutor_paul><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=58407\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are given two equations and two unknowns. Anytime you have at least as many equations as you have unknowns, you can solve the problem!<BR>\n" );
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document.write( "Let the two numbers in question be called x and y.<BR>\n" );
document.write( "From the given information we can say:<BR>\n" );
document.write( "Equation #1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2By=35 ALIGN=MIDDLE  ALT=\"x%2By=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "Equation #2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-y=13 ALIGN=MIDDLE  ALT=\"x-y=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, you have 2 equations and 2 unknowns. you are good to go.<BR>\n" );
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document.write( "First, Solve Equation #2 for x in terms of y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=13%2By ALIGN=MIDDLE  ALT=\"x=13%2By\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, substitute this expression for x into Equation #1 (that is why this is called the \"substitution\" method.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13%2By%2By=35 ALIGN=MIDDLE  ALT=\"13%2By%2By=35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=22 ALIGN=MIDDLE  ALT=\"2y=22\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=11%29 ALIGN=MIDDLE  ALT=\"highlight%28y=11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, substitute this value for y back in to Equation #2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-11=13 ALIGN=MIDDLE  ALT=\"x-11=13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=24%29 ALIGN=MIDDLE  ALT=\"highlight%28x=24%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check these answers by plugging the values back in to the original equations. They should both hold true.<BR>\n" );
document.write( "Good Luck,<BR>\n" );
document.write( "tutor_paul@yahoo.com </SPAN>\n" );
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