document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=300927>Question 300927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> this is from (barron's)algebra book...the level of national income (y) in a country can be found from the two-equation system...Y=C+I+G<BR>\n" );
document.write( "                                                     C=a+bY   solve for Y and C assuming that I(investment spending),G (government spending),a, and b are known.<BR>\n" );
document.write( "i have no clue how to do this one. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215829 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=C%2BI%2BG ALIGN=MIDDLE  ALT=\"Y=C%2BI%2BG\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=a%2BbY ALIGN=MIDDLE  ALT=\"C=a%2BbY\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's substitute to simplify the knowns.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=I%2BG ALIGN=MIDDLE  ALT=\"d=I%2BG\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then, <BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=C%2Bd ALIGN=MIDDLE  ALT=\"Y=C%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=bY%2Ba ALIGN=MIDDLE  ALT=\"C=bY%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You're solving for C and Y.<BR>\n" );
document.write( "You can do a direct substitution using eq. 1 in eq. 2 and solving for C.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=bY%2Ba ALIGN=MIDDLE  ALT=\"C=bY%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=b%28C%2Bd%29%2Ba ALIGN=MIDDLE  ALT=\"C=b%28C%2Bd%29%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=bC%2Bbd%2Ba ALIGN=MIDDLE  ALT=\"C=bC%2Bbd%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C-bC=bd%2Ba ALIGN=MIDDLE  ALT=\"C-bC=bd%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%281-b%29=bd%2Ba ALIGN=MIDDLE  ALT=\"C%281-b%29=bd%2Ba\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=%28bd%2Ba%29%2F%281-b%29 ALIGN=MIDDLE  ALT=\"C=%28bd%2Ba%29%2F%281-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then go back and solve for Y using eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=C%2Bd ALIGN=MIDDLE  ALT=\"Y=C%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28bd%2Ba%29%2F%281-b%29%2Bd ALIGN=MIDDLE  ALT=\"Y=%28bd%2Ba%29%2F%281-b%29%2Bd\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28bd%2Ba%29%2F%281-b%29%2Bd%281-b%29%2F%281-b%29 ALIGN=MIDDLE  ALT=\"Y=%28bd%2Ba%29%2F%281-b%29%2Bd%281-b%29%2F%281-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28bd%2Ba%2Bd%281-b%29%29%2F%281-b%29 ALIGN=MIDDLE  ALT=\"Y=%28bd%2Ba%2Bd%281-b%29%29%2F%281-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28bd%2Ba%2Bd-bd%29%2F%281-b%29 ALIGN=MIDDLE  ALT=\"Y=%28bd%2Ba%2Bd-bd%29%2F%281-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=%28a%2Bd%29%2F%281-b%29 ALIGN=MIDDLE  ALT=\"Y=%28a%2Bd%29%2F%281-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we can go back and re-substitute,\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28C=%28b%28I%2BG%29%2Ba%29%2F%281-b%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28C=%28b%28I%2BG%29%2Ba%29%2F%281-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28Y=%28a%2BI%2BG%29%2F%281-b%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28Y=%28a%2BI%2BG%29%2F%281-b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );