document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=637356>Question 637356</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of Q for the following sets of equations:\r<BR>\n" );
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document.write( "P + R = 4; Q x P + R = 10; P + Q x R = 14   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #401596 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=401596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given<BR>\n" );
document.write( "(1) P + R = 4<BR>\n" );
document.write( "(2) QP + R = 10<BR>\n" );
document.write( "(3) QR + P = 14<BR>\n" );
document.write( "Recognize that you need the products QP and QR, so simply multiple both sides of (1) by Q and obtain<BR>\n" );
document.write( "(4) QP + QR = 4Q<BR>\n" );
document.write( "Now add (2) and (3) to obtain<BR>\n" );
document.write( "(5) QP + QR + R + P = 10 + 14<BR>\n" );
document.write( "Substitute (4) into (5) to get<BR>\n" );
document.write( "(6) 4Q + R + P = 24<BR>\n" );
document.write( "Substitute (1) into (6) to get<BR>\n" );
document.write( "(7) 4Q + 4 = 24<BR>\n" );
document.write( "    4Q = 20<BR>\n" );
document.write( "     Q = 5<BR>\n" );
document.write( "Now substitute Q into (2)<BR>\n" );
document.write( "(2)' 5P + R = 10<BR>\n" );
document.write( "Use (2)' and (1) to solve simultaneously to get P nad R<BR>\n" );
document.write( "  5P + R = 10<BR>\n" );
document.write( "   P + R = 4<BR>\n" );
document.write( "  5(4 - R) + R = 10<BR>\n" );
document.write( "  20 - 5R + R = 10<BR>\n" );
document.write( "  4R = 10<BR>\n" );
document.write( "   R = 5/2<BR>\n" );
document.write( "Use (1) and R to get<BR>\n" );
document.write( "   P + 5/2 = 4 <BR>\n" );
document.write( "   P = 3/2<BR>\n" );
document.write( "Now check your answers in (2) and (3)<BR>\n" );
document.write( "Is (5*(3/2) + 5/2 = 10)?<BR>\n" );
document.write( "Is (15/2 + 5/2 = 10)?<BR>\n" );
document.write( "Is (20/2 = 10)?<BR>\n" );
document.write( "Is (10 = 10)? Yes\r<BR>\n" );
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document.write( "Is (5*(5/2) + 3/2 = 14)?<BR>\n" );
document.write( "Is (25/2 + 3/2 = 14)?<BR>\n" );
document.write( "Is (28/2 = 14)?<BR>\n" );
document.write( "Is (14 = 14)? Yes\r<BR>\n" );
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document.write( "Your answer is P = 3/2, Q = 5 and R = 5/2 </SPAN>\n" );
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