document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273851>Question 273851</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am completely stumped on this question. \r<BR>\n" );
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document.write( "Given (f+g)(x)=10-3x and (f-g)(x)=5x-14, find f(x) and g(x).\r<BR>\n" );
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document.write( "Thanks so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200001 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=200001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%2Bg%29%28x%29=10-3x ALIGN=MIDDLE  ALT=\"%28f%2Bg%29%28x%29=10-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29%2Bg%28x%29=10-3x ALIGN=MIDDLE  ALT=\"f%28x%29%2Bg%28x%29=10-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Solve for 'f(x)' to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=10-3x-g%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=10-3x-g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Also, because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f-g%29%28x%29=5x-14 ALIGN=MIDDLE  ALT=\"%28f-g%29%28x%29=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29-g%28x%29=5x-14 ALIGN=MIDDLE  ALT=\"f%28x%29-g%28x%29=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=10-3x-g%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29=10-3x-g%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29-g%28x%29=5x-14 ALIGN=MIDDLE  ALT=\"f%28x%29-g%28x%29=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-3x-g%28x%29-g%28x%29=5x-14 ALIGN=MIDDLE  ALT=\"10-3x-g%28x%29-g%28x%29=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Combine like terms to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10-3x-2g%28x%29=5x-14 ALIGN=MIDDLE  ALT=\"10-3x-2g%28x%29=5x-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From here, simply solve for 'g(x)' (think of g(x) as any other variable). Once you have g(x), use that to find f(x). </SPAN>\n" );
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