document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73111>Question 73111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Not too long ago Edwin greatly helped me solve a system of equations from a word problem, it did indeed help me however, i need to now use that system and solve it using the substitution and elimination methods... can u help me?... the system is.... <BR>\n" );
document.write( "s + p + c = 40<BR>\n" );
document.write( "        c = 4p<BR>\n" );
document.write( "        s = p - 2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52378 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=52378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice how c=4p and s=p-2, you can simply replace c and s in the first equation with 4p and p-2. This allows you to work with nothing but p. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+p+%2B+c+=+40 ALIGN=MIDDLE  ALT=\"s+%2B+p+%2B+c+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+4p ALIGN=MIDDLE  ALT=\"c+=+4p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+p+-+2 ALIGN=MIDDLE  ALT=\"s+=+p+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+p+%2B+highlight%284p%29+=+40 ALIGN=MIDDLE  ALT=\"s+%2B+p+%2B+highlight%284p%29+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" >Replace c with 4p (it's like saying x+5=10 and if I replace x with 5 I get 5+5=10. What I'm doing is substituting 5 into x to show that they are equal. In this case I'm working with p's and c's).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p-2%29+%2B+p+%2B+highlight%284p%29+=+40 ALIGN=MIDDLE  ALT=\"highlight%28p-2%29+%2B+p+%2B+highlight%284p%29+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" >Do the same thing to s and replace s with p-2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28p-2%29%2Bp%2B4p=40 ALIGN=MIDDLE  ALT=\"%28p-2%29%2Bp%2B4p=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >Now we have gone from 3 variables to 1 variable. We can now solve for p.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2Bp%2B4p-2=40 ALIGN=MIDDLE  ALT=\"p%2Bp%2B4p-2=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >Group like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6p%2Bcross%28-2%2B2%29=40%2B2 ALIGN=MIDDLE  ALT=\"6p%2Bcross%28-2%2B2%29=40%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Add like terms and add 2 to both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%286%2F6%29p=42%2F6 ALIGN=MIDDLE  ALT=\"cross%286%2F6%29p=42%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >Divide both sides by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=7 ALIGN=MIDDLE  ALT=\"p=7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now that we have p=7 we can use this to solve for c and s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=4p ALIGN=MIDDLE  ALT=\"c=4p\"   DISABLED_style= \"max-width:90%; height:auto;\" >Solving for c<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=4%287%29 ALIGN=MIDDLE  ALT=\"c=4%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=28 ALIGN=MIDDLE  ALT=\"c=28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=p-2 ALIGN=MIDDLE  ALT=\"s=p-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Solving for s<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=7-2 ALIGN=MIDDLE  ALT=\"s=7-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=5 ALIGN=MIDDLE  ALT=\"s=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So p=7, s=5, and c=28<BR>\n" );
document.write( "<p><BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+%2B+p+%2B+c+=+40 ALIGN=MIDDLE  ALT=\"s+%2B+p+%2B+c+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the first equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+%2B+7+%2B+28+=+40 ALIGN=MIDDLE  ALT=\"5+%2B+7+%2B+28+=+40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2B28=40 ALIGN=MIDDLE  ALT=\"12%2B28=40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40=40 ALIGN=MIDDLE  ALT=\"40=40\"   DISABLED_style= \"max-width:90%; height:auto;\" >Works<BR>\n" );
document.write( "<p><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+4p ALIGN=MIDDLE  ALT=\"c+=+4p\"   DISABLED_style= \"max-width:90%; height:auto;\" >Use the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28+=+4%287%29 ALIGN=MIDDLE  ALT=\"28+=+4%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28+=+28 ALIGN=MIDDLE  ALT=\"28+=+28\"   DISABLED_style= \"max-width:90%; height:auto;\" >Works<BR>\n" );
document.write( "<p><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s+=+p+-+2 ALIGN=MIDDLE  ALT=\"s+=+p+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >Check with the 3rd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=7-2 ALIGN=MIDDLE  ALT=\"5=7-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=5 ALIGN=MIDDLE  ALT=\"5=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >Works<BR>\n" );
document.write( "Hope this helps.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );