document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=54151>Question 54151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Melisa has saved a total of $30,000 and wants to invest in three different stocks: Pepsico, IBM, and Microsoft. She wants the Pepsico amount to be $1000 less than twice the IBM amount and the Microsoft amount to be $2000 more than the total in the other two stocks. How much should she invest in each stock.<BR>\n" );
document.write( "Solve using linear equation, system of three variable. The variables will be x,y, and z. Solve for each. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #36462 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=36462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Melisa has saved a total of $30,000 and wants to invest in three different stocks: Pepsico, IBM, and Microsoft. She wants the Pepsico amount to be $1000 less than twice the IBM amount and the Microsoft amount to be $2000 more than the total in the other two stocks. How much should she invest in each stock.<BR>\n" );
document.write( "Solve using linear equation, system of three variable. The variables will be x,y, and z. Solve for each.<BR>\n" );
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document.write( "1st equation: total of 3 investments: x=Pep; y = IBM; z = Micro<BR>\n" );
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document.write( "x + y + z = 30000<BR>\n" );
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document.write( "write equation for the following statements, arrange in standard form:<BR>\n" );
document.write( "\"Pepsico amount to be $1000 less than twice the IBM amount\" <BR>\n" );
document.write( "x = 2y - 1000<BR>\n" );
document.write( "x - 2y = -1000<BR>\n" );
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document.write( "\"Microsoft amount to be $2000 more than the total in the other two stocks.\" <BR>\n" );
document.write( "z = x + y + 2000<BR>\n" );
document.write( "x + y - z = -2000<BR>\n" );
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document.write( "Three equations in standard form<BR>\n" );
document.write( "x + y + z = 30000<BR>\n" );
document.write( "x -2y + 0 = -1000<BR>\n" );
document.write( "x + y - z = -2000<BR>\n" );
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document.write( "Taking the 1st and 3rd equations, you can eliminate x & y<BR>\n" );
document.write( "x + y + z = 30000<BR>\n" );
document.write( "x + y - z = -2000<BR>\n" );
document.write( "------------------subtract<BR>\n" );
document.write( "0 + 0 + 2z = 32000<BR>\n" );
document.write( "         z = 32000/2<BR>\n" );
document.write( "         z = 16000<BR>\n" );
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document.write( "Take the 1st and 2nd equations, substitute 16000 for z and you have:<BR>\n" );
document.write( "x + y + 16000 = 30000<BR>\n" );
document.write( "x + y = 30000 - 16000<BR>\n" );
document.write( "x + y = 14000<BR>\n" );
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document.write( "x +  y = 14000<BR>\n" );
document.write( "x - 2y = -1000<BR>\n" );
document.write( "-------------- Subtract, eliminate x<BR>\n" );
document.write( "0 + 3y = 15000<BR>\n" );
document.write( "     y = 15000/3<BR>\n" );
document.write( "     y = 5000<BR>\n" );
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document.write( "I'll let you find out what x is. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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