document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181727>Question 181727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Method of Substitution<BR>\n" );
document.write( "8. Ugo plays hockey and is awarded 2 points for each goal and 1 point for each assist. Last season he had a total of 86 points. He scored 17 fewer goals than assists.<BR>\n" );
document.write( "a) Write a linear system to represent the information.<BR>\n" );
document.write( "b) Solve the system using the method of substitution. <BR>\n" );
document.write( "c) What does the solution represent in the context of this equation?<BR>\n" );
document.write( "Please and thank you very much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136371 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=136371\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Method of Substitution<BR>\n" );
document.write( "8. Ugo plays hockey and is awarded 2 points for each goal and 1 point for each assist. Last season he had a total of 86 points. He scored 17 fewer goals than assists.<BR>\n" );
document.write( "a) Write a linear system to represent the information.<BR>\n" );
document.write( "b) Solve the system using the method of substitution. <BR>\n" );
document.write( "c) What does the solution represent in the context of this equation?\r<BR>\n" );
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document.write( "let g and a be the number of goals and assists respectively<BR>\n" );
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document.write( "a)2g+1a=86........eq 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g=red%28a-17%29 ALIGN=MIDDLE  ALT=\"g=red%28a-17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >............eq 2<BR>\n" );
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document.write( "b)take g's value from eq 2 and substitute into eq 1<BR>\n" );
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document.write( "2(a-17)+a=86<BR>\n" );
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document.write( "2a-34+a=86<BR>\n" );
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document.write( "3a=120<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=40%29 ALIGN=MIDDLE  ALT=\"highlight%28a=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >number of assists<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28g%29=red%28a-17%29=red%2840-17%29=highlight%2823%29 ALIGN=MIDDLE  ALT=\"highlight%28g%29=red%28a-17%29=red%2840-17%29=highlight%2823%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >number of goals<BR>\n" );
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document.write( "c) the solutions represent the number of assists and goals </SPAN>\n" );
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