document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1003684>Question 1003684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm confused as to how to set this up using two linear equations with two unknowns.  \"A developer built twice as many three-bedroom homes as four-bedroom homes in a new development. The profit from each three-bedroom home was $25000, and the profit from each four-bedroom home was $35000. If the total profit was $6 800 000, how many of each were built?\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620346 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39621)</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=620346\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Very common application for simple two-variable linear system.\r<BR>\n" );
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document.write( "Assign variables.<BR>\n" );
document.write( "x, how many three-bedroom homes<BR>\n" );
document.write( "y, how many four-bedroom homes\r<BR>\n" );
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document.write( "Form equations.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%2Fy=2%2C25000x%2B35000y=6800000%29 ALIGN=MIDDLE  ALT=\"system%28x%2Fy=2%2C25000x%2B35000y=6800000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you can understand that, then simply solving the system should be no trouble.\r<BR>\n" );
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document.write( "Just watch for simplification mistakes in the money equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2825000x%2B35000y%29%2F%285%2A1000%29=6800000%2F%285%2A1000%29 ALIGN=MIDDLE  ALT=\"%2825000x%2B35000y%29%2F%285%2A1000%29=6800000%2F%285%2A1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B7y=1360 ALIGN=MIDDLE  ALT=\"5x%2B7y=1360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "for the equivalent system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x=2y%2C5x%2B7y=1360%29 ALIGN=MIDDLE  ALT=\"system%28x=2y%2C5x%2B7y=1360%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "--<BR>\n" );
document.write( "The simpler equation shown first is from, <i>...built twice as many three-bedroom homes as four-bedroom homes in a new development.</i>.  This means that x is two times y, or the ratio of x and y is 2. </SPAN>\n" );
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