document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=885604>Question 885604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Directions:  Solve each system of equations by the substitution method.\r<BR>\n" );
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document.write( "Problem:  x+2y=6 & 2x+3y=8\r<BR>\n" );
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document.write( "Everytime I think I have it, im lost for the next problem, help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #535291 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=535291\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"<i>Everytime I think I have it, im lost for the next problem, help!</i>\"\r<BR>\n" );
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document.write( "If that is the case, then try generalizing completely for two linear equations in standard form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%2Bby=c ALIGN=MIDDLE  ALT=\"ax%2Bby=c\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dx%2Bey=k ALIGN=MIDDLE  ALT=\"dx%2Bey=k\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "You wish to use the substitution method.\r<BR>\n" );
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document.write( "Solve either equation for one of the variables.<BR>\n" );
document.write( "Arbitrarily, x from the first equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax=c-by ALIGN=MIDDLE  ALT=\"ax=c-by\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28c-by%29%2Fa ALIGN=MIDDLE  ALT=\"x=%28c-by%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Substitute for x in the second equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28c-by%29%2Fa%2Bey=k ALIGN=MIDDLE  ALT=\"d%28c-by%29%2Fa%2Bey=k\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve this for y.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d%28c-by%29%2Baey=ak ALIGN=MIDDLE  ALT=\"d%28c-by%29%2Baey=ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=dc-bdy%2Baey=ak ALIGN=MIDDLE  ALT=\"dc-bdy%2Baey=ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-bdy%2Baey=ak-dc ALIGN=MIDDLE  ALT=\"-bdy%2Baey=ak-dc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28ae-bd%29=ak-dc ALIGN=MIDDLE  ALT=\"y%28ae-bd%29=ak-dc\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=%28ak-dc%29%2F%28ae-bd%29%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%28ak-dc%29%2F%28ae-bd%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----See that this solution for y uses only an expression of constants, so this will be evaluable when we know the values of those constants.<BR>\n" );
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document.write( "Again use the previous formula for x, substitute the found formula solution for y, and simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28c-by%29%2Fa ALIGN=MIDDLE  ALT=\"x=%28c-by%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28c-b%28%28ak-dc%29%2F%28ae-bd%29%29%29%2Fa ALIGN=MIDDLE  ALT=\"x=%28c-b%28%28ak-dc%29%2F%28ae-bd%29%29%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28c%28ae-bd%29-b%28ak-dc%29%29%2F%28a%28ae-bd%29%29 ALIGN=MIDDLE  ALT=\"x=%28c%28ae-bd%29-b%28ak-dc%29%29%2F%28a%28ae-bd%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=x=%28ace-bcd-abk%2Bbcd%29%2F%28a%5E2e-abd%29 ALIGN=MIDDLE  ALT=\"x=%28ace-bcd-abk%2Bbcd%29%2F%28a%5E2e-abd%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%28x=%28ace-abk%29%2F%28a%5E2e-abd%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=%28ace-abk%29%2F%28a%5E2e-abd%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----again the right-member is an expression of constants. </SPAN>\n" );
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