document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052319>Question 1052319</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At the school store, 3 pens and 2 notebooks cost a total of $12, while 1 pen and 3 notebooks cost a total of $11. This can be represented by the system of equations, where x stands for the cost, in dollars, of pens, and y stands for the cost, in dollars, of notebooks.\r<BR>\n" );
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document.write( "  What is the cost of one notebook?<BR>\n" );
document.write( "$2.00<BR>\n" );
document.write( "$2.40<BR>\n" );
document.write( "$2.75<BR>\n" );
document.write( "$3.00 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #667696 by </B><A HREF=/tutors/aboutme.mpl?userid=addingup><B>addingup(3677)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=addingup><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=addingup><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=667696\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x+2y = 12 (1)<BR>\n" );
document.write( "1x+3y = 11; 1x is the same as just x, so<BR>\n" );
document.write( "x+3y = 11 (2)<BR>\n" );
document.write( "Multiply both sides of (1) times 3 and both sides of (2) times 2:<BR>\n" );
document.write( "9x+6y = 36 (3)<BR>\n" );
document.write( "2x+6y = 22 (4)<BR>\n" );
document.write( "Now subtract (4) from (3):<BR>\n" );
document.write( "9x+6y = 36<BR>\n" );
document.write( "-<BR>\n" );
document.write( "2x+6y = 22<BR>\n" );
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document.write( "7x+0y = 14 <BR>\n" );
document.write( "and here 0y means we don't have any y because 6y-6y=0, so we re-write:<BR>\n" );
document.write( "7x = 14 divide both sides by 7<BR>\n" );
document.write( "x = 2 This is the cost of a pen<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x+3y = 11<BR>\n" );
document.write( "2+3y = 11<BR>\n" );
document.write( "3y = 9<BR>\n" );
document.write( "y = 3 This is the cost of a notebook<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "3x+2y = 12; 3(2)+2(3) = 12; 6+6 = 12 Correct<BR>\n" );
document.write( "x+3y = 11; 2+3(3) = 11; 2+9 = 11 Correct<BR>\n" );
document.write( ":<BR>\n" );
document.write( "John<BR>\n" );
document.write( " </SPAN>\n" );
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