document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269222>Question 269222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this word problem.  I think I have 2/3 equations set up correctly, but I am stuck on writing one.  Here's the problem:<BR>\n" );
document.write( "During the 2003 NBA playoffs, the top-scoring player was Kobe Bryant.  He scored a total of 385 points during the playoffs.  The number of free throws (each worth one point) he made was 11 more than three times the number of three point field goals he made.  Bryant also made 26 fewer free throws than two-point field goals. How many free throws, two point field goals, and three-point field goals did Kobe Bryant make during the playoffs?<BR>\n" );
document.write( "I have x = 3y + 11<BR>\n" );
document.write( "x = z - 26<BR>\n" );
document.write( "x + y + z = 385<BR>\n" );
document.write( "Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197380 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=197380\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of freethrows he made<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of 2-point shots he made<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of 3-point shots he made<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Aa+%2B+2b+%2B+3c+=+385 ALIGN=MIDDLE  ALT=\"1%2Aa+%2B+2b+%2B+3c+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3c+%2B+11 ALIGN=MIDDLE  ALT=\"a+=+3c+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+a+%2B+26 ALIGN=MIDDLE  ALT=\"b+=+a+%2B+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Substitute (3) into (1)<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Aa+%2B+2%2A%28a+%2B+26%29+%2B+3c+=+385 ALIGN=MIDDLE  ALT=\"1%2Aa+%2B+2%2A%28a+%2B+26%29+%2B+3c+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+2a+%2B+52+%2B+3c+=+385 ALIGN=MIDDLE  ALT=\"a+%2B+2a+%2B+52+%2B+3c+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+%2B+3c+=+333 ALIGN=MIDDLE  ALT=\"3a+%2B+3c+=+333\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+c+=+111 ALIGN=MIDDLE  ALT=\"a+%2B+c+=+111\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+111+-+a ALIGN=MIDDLE  ALT=\"c+=+111+-+a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute this result into (2)<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3c+%2B+11 ALIGN=MIDDLE  ALT=\"a+=+3c+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+3%2A%28111+-+a%29+%2B+11 ALIGN=MIDDLE  ALT=\"a+=+3%2A%28111+-+a%29+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+333+-+3a+%2B+11 ALIGN=MIDDLE  ALT=\"a+=+333+-+3a+%2B+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4a+=+344 ALIGN=MIDDLE  ALT=\"4a+=+344\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+86 ALIGN=MIDDLE  ALT=\"a+=+86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, since<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+a+%2B+26 ALIGN=MIDDLE  ALT=\"b+=+a+%2B+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+86+%2B+26 ALIGN=MIDDLE  ALT=\"b+=+86+%2B+26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+112 ALIGN=MIDDLE  ALT=\"b+=+112\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+111+-+a ALIGN=MIDDLE  ALT=\"c+=+111+-+a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+111+-+86 ALIGN=MIDDLE  ALT=\"c+=+111+-+86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+25 ALIGN=MIDDLE  ALT=\"c+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Kobe made 86 freethrows, <BR>\n" );
document.write( "112 2-point shots, and <BR>\n" );
document.write( "25 3-point shots<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Aa+%2B+2b+%2B+3c+=+385 ALIGN=MIDDLE  ALT=\"1%2Aa+%2B+2b+%2B+3c+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=86+%2B+2%2A112+%2B+3%2A25+=+385 ALIGN=MIDDLE  ALT=\"86+%2B+2%2A112+%2B+3%2A25+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=86+%2B+224+%2B+75+=+385 ALIGN=MIDDLE  ALT=\"86+%2B+224+%2B+75+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385+=+385 ALIGN=MIDDLE  ALT=\"385+=+385\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );