document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119577>Question 119577</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>Algebra Structure and Method </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Solve by the substitution method<BR>\n" );
document.write( "3d+e over 4 = d+1 over 2<BR>\n" );
document.write( "d-e over 4 = 1\r<BR>\n" );
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document.write( "If anyone can answer this problem I would greatly appreciate it.  Please and Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87653 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by the substitution method<BR>\n" );
document.write( "3d+e over 4 = d+1 over 2<BR>\n" );
document.write( "d-e over 4 = 1<BR>\n" );
document.write( ";<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283d%2Be%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%283d%2Be%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B1%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28d%2B1%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply and you have:<BR>\n" );
document.write( "2(3d+e) 4(d+1)<BR>\n" );
document.write( "6d + 2e = 4d + 4<BR>\n" );
document.write( "6d - 4d + 2e = 4<BR>\n" );
document.write( "2d + 2e = 4<BR>\n" );
document.write( "Simplify, divide by 2:<BR>\n" );
document.write( "d + e = 2<BR>\n" );
document.write( "e = (2-d); Use this for substitution <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d-e%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%28d-e%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1 <BR>\n" );
document.write( "Multiply equation by 4 to get rid of that annoying denominator, we have:<BR>\n" );
document.write( "d - e = 4<BR>\n" );
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document.write( "Substitute (2-d) for e in the above equation:<BR>\n" );
document.write( "d - (2 - d) = 4<BR>\n" );
document.write( "d - 2 + d = 4<BR>\n" );
document.write( "2d = 4 + 2<BR>\n" );
document.write( "2d = 6<BR>\n" );
document.write( "d = 3<BR>\n" );
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document.write( "Find e substituting 3 for d in equations; e = (2 - d)<BR>\n" );
document.write( "e = 2 - 3<BR>\n" );
document.write( "e = -1<BR>\n" );
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document.write( "Check solutions in the original 1st equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283d%2Be%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%283d%2Be%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28d%2B1%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%28d%2B1%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%283%29-1%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%283%283%29-1%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283%2B1%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%283%2B1%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%288%29%29%2F4 ALIGN=MIDDLE  ALT=\"%28%288%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28%284%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; confirms our solutions<BR>\n" );
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document.write( "You can check solution in the original 2nd equation </SPAN>\n" );
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