document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4850>Question 4850</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of an apple and the cost of an orange. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2354 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=2354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x = number of apples<BR>\n" );
document.write( "y = number of oranges\r<BR>\n" );
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document.write( "6x + 3y = $3.36<BR>\n" );
document.write( "2x + 5y = $3.04\r<BR>\n" );
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document.write( "The easiest way to eliminate a variable is to multiply both sides of the second equation by -3.\r<BR>\n" );
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document.write( "6x + 3y = $3.36<BR>\n" );
document.write( "-3(2x + 5y) = -3($3.04)\r<BR>\n" );
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document.write( "6x + 3y = $3.36<BR>\n" );
document.write( "-6x - 15y = -9.12\r<BR>\n" );
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document.write( "Add the equations together:<BR>\n" );
document.write( "-12y = -5.76\r<BR>\n" );
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document.write( "Divide by -12, and get y = $.48 per orange\r<BR>\n" );
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document.write( "Substitute y = .48<BR>\n" );
document.write( "6x + 3y = $3.36<BR>\n" );
document.write( "6x + 3(.48) = 3.36<BR>\n" );
document.write( "6x + 1.44 = 3.36<BR>\n" );
document.write( "6x = 1.92<BR>\n" );
document.write( "x = $.32 per apple\r<BR>\n" );
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document.write( "Check both numbers in the second equation:<BR>\n" );
document.write( "2x + 5y = $3.04<BR>\n" );
document.write( "2(.32) + 5(.48) = 3.04<BR>\n" );
document.write( "$.64 + $2.40 = $3.04\r<BR>\n" );
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document.write( "It checks!!\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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