document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51233>Question 51233</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Exercise 2.2 #19 on page 97\r<BR>\n" );
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document.write( "Solve the system for p and q in terms of x and y.  Explain how you could check your solution and perform the check.\r<BR>\n" );
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document.write( "x=2+p-2q<BR>\n" );
document.write( "y=3-p+3q\r<BR>\n" );
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document.write( "I've been all over the chapter and couldn't find anything remotely helpful for this.  Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34176 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=34176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It may be helpful to find a way to eliminate the p, and then eliminate the q, and write two equations, one for p and one for q.\r<BR>\n" );
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document.write( "First, if you add the two equations together, you can eliminate the p, and get\r<BR>\n" );
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document.write( "x=2+p-2q<BR>\n" );
document.write( "y=3-p+3q <BR>\n" );
document.write( "x+y = 5 + q, so q = x+y-5\r<BR>\n" );
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document.write( "Second, to eliminate the q, multiply both sides of the first equation by 3, and the second equation by 2:<BR>\n" );
document.write( "3(x)=3(2+p-2q)<BR>\n" );
document.write( "2(y)=2(3-p+3q) \r<BR>\n" );
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document.write( "3x= 6 +3p-6q<BR>\n" );
document.write( "2y = 6-2p+6q\r<BR>\n" );
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document.write( "3x+2y = 12 +p, so p=3x+2y - 12\r<BR>\n" );
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document.write( "There you have it:<BR>\n" );
document.write( "p=3x+2y-12<BR>\n" );
document.write( "q=x+y-5\r<BR>\n" );
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document.write( "I have no idea how to check this, unless you solve for x and y to see if you come back with the same equations that you started with.  It looks like Linear Algebra to me.  Hey, I gotta go to work this morning!!\r<BR>\n" );
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document.write( "R^2 at SCC<BR>\n" );
document.write( " </SPAN>\n" );
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