document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888602>Question 888602</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small-town library buys a total of 33 books that cost $966. Some of the books cost $22 each, and the remainder cost $34 each. How many books of each price did the library buy?\r<BR>\n" );
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document.write( "Solve the system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (Objective 1. If there are infinitely many solutions, enter INFINITELY MANY. If the system is inconsistent, enter INCONSISTENT.)<BR>\n" );
document.write( "(2x-5y=6)<BR>\n" );
document.write( "(y=2/5x-6/5)<BR>\n" );
document.write( "(x,y)=(  ,  )<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 #537500 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=537500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x+y=33<BR>\n" );
document.write( "22x+34y=966<BR>\n" );
document.write( "1,1,33<BR>\n" );
document.write( "22,34,966\r<BR>\n" );
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document.write( "divide row 1 by 1/1<BR>\n" );
document.write( "1,1,33<BR>\n" );
document.write( "22,34,966\r<BR>\n" );
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document.write( "add  down (-22/1) *row 1 to row 2<BR>\n" );
document.write( "1,1,33<BR>\n" );
document.write( "0,12,240\r<BR>\n" );
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document.write( "divide row 2 by 12/1<BR>\n" );
document.write( "1,1,33<BR>\n" );
document.write( "0,1,20\r<BR>\n" );
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document.write( "We now have the value for the last variable.<BR>\n" );
document.write( "We will work our way up and get the other solutions.\r<BR>\n" );
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document.write( "add up  (-1/1) *row 2 to row 1<BR>\n" );
document.write( "1,0,13<BR>\n" );
document.write( "0,1,20\r<BR>\n" );
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document.write( "final<BR>\n" );
document.write( "1,0,13 <BR>\n" );
document.write( "0,1,20 \r<BR>\n" );
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document.write( "13 at $22<BR>\n" );
document.write( "20 at $34\r<BR>\n" );
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document.write( "(2x-5y=6)<BR>\n" );
document.write( "(y=2/5x-6/5)<BR>\n" );
document.write( "5y=2x-6<BR>\n" );
document.write( "2x-5y-6=0<BR>\n" );
document.write( "2x-5y=6\r<BR>\n" );
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document.write( "They are the same equations so there are INFINITELY MANY\r<BR>\n" );
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