document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=342379>Question 342379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y.  The total value of Bob's holdings of these two companies is $372,000.<BR>\n" );
document.write( "Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y.  The total value of Franks holdings of these two companies is $400,000.<BR>\n" );
document.write( "a.  Write equations for Bob and Frank's holdings.  Use the variables X and Y to represent the values of shares of Company X and Company Y.<BR>\n" );
document.write( "b. Solve for the value of a share of Company X and Company Y.  Show your work so you can get partial credit even if your final answer is wrong.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #245053 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=245053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "Bob: 2000*x+10000*y=372000<BR>\n" );
document.write( "Frank: 8000*x+6000*y=400000<BR>\n" );
document.write( "===<BR>\n" );
document.write( "b. Solve for the value of a share of Company X and Company Y. <BR>\n" );
document.write( "1) simplify the equations for Bob and Frank's holdings<BR>\n" );
document.write( "2000*x+10000*y=372000  divide both sides by 2000<BR>\n" );
document.write( "x+5y=186<BR>\n" );
document.write( "8000*x+6000*y=400000 divide both sides by 2000<BR>\n" );
document.write( "4x+3y=200<BR>\n" );
document.write( "--<BR>\n" );
document.write( "your new equations are <BR>\n" );
document.write( "x+5y=186<BR>\n" );
document.write( "4x+3y=200<BR>\n" );
document.write( "--<BR>\n" );
document.write( "multiply first equation by -4<BR>\n" );
document.write( "-4x-20y=-744<BR>\n" );
document.write( "4x+3y=200  <BR>\n" );
document.write( "add both equations<BR>\n" );
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document.write( "-17y=-544<BR>\n" );
document.write( "y=32<BR>\n" );
document.write( "substitute this into x+5y=186<BR>\n" );
document.write( "x=186-5(32)=26<BR>\n" );
document.write( "answer x=26, y=32<BR>\n" );
document.write( "--<BR>\n" );
document.write( "validate<BR>\n" );
document.write( "subtitute these value into original equations<BR>\n" );
document.write( "Bob: 2000*x+10000*y=372000--->  2000*26+10000*32 does this = 372000??<BR>\n" );
document.write( "Frank: 8000*x+6000*y=400000----> 8000*26+6000*32 does this = 400000\r<BR>\n" );
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