document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87487>Question 87487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please HELP!!<BR>\n" );
document.write( "3 loaves of bread and 2 jars of peanut butter cost $5.49. 4 loaves of bread and 3 jars of peanut butter cost $7.75. Find the price of a loaf of bread and a jar of peanut butter. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63442 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63442\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=price of a loaf of bread<BR>\n" );
document.write( "And y=cost of a jar of peanut butter\r<BR>\n" );
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document.write( "Now we are told that:\r<BR>\n" );
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document.write( "3x+2y=$5.49-------------------------------------------------eq1\r<BR>\n" );
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document.write( "We are also told that:\r<BR>\n" );
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document.write( "4x+3y=$7.75--------------------------------------------------eq2\r<BR>\n" );
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document.write( "multiply each term in eq1 by 3 and we get:\r<BR>\n" );
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document.write( "9x+6y=$16.47----------------------------------eq1a\r<BR>\n" );
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document.write( "multiply each term in eq2 by 2 and we get:\r<BR>\n" );
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document.write( "8x+6y=$15.50----------------------------------eq2a\r<BR>\n" );
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document.write( "subtract eq2a from eq1a and we have:\r<BR>\n" );
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document.write( "x=$0.97--------------------------------price of a loaf of bread\r<BR>\n" );
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document.write( "substitute x=$0.97 into eq1 and we have:\r<BR>\n" );
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document.write( "3($0.97)+2y=$5.49  get rid of parens\r<BR>\n" );
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document.write( "$2.91+2y=$5.49  subtract $2.91 from both sides\r<BR>\n" );
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document.write( "$2.91-$2.91+2y=$5.49-$2.91  collect like terms\r<BR>\n" );
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document.write( "2y=$2.58  divide both sides by 2\r<BR>\n" );
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document.write( "y=$1.29-----------------------------------price of a jar of peanut butter\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "from eq1:\r<BR>\n" );
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document.write( "3($0.97)+2($1.29)=$5.49<BR>\n" );
document.write( "$2.91+$2.58=$5.49<BR>\n" );
document.write( "$5.49=$5.49\r<BR>\n" );
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document.write( "from eq2\r<BR>\n" );
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document.write( "4($0.97)+3($1.29)=$7.75\r<BR>\n" );
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document.write( "$3.88+$3.87=$7.75\r<BR>\n" );
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document.write( "$7.75=7.75\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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