document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966770>Question 966770</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three bags of potatoes and four cases of corn cost $40. Five bags of potatoes and two cases of corn cost $34. Find the cost of one bag of potatoes and the cost of one case of corn. [Show or explain the procedure used to obtain your answer.] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590873 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52802)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590873\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Let &nbsp;x&nbsp; be the price of one bag of potatoes and &nbsp;y&nbsp; be the price of one case of corn.\r<BR>\n" );
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document.write( "Then you have the system of two linear equations\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283x+%2B+4y+=+40%2C%0D%0A5x+%2B+2y+=+34%29%0D%0A ALIGN=MIDDLE  ALT=\"system%283x+%2B+4y+=+40%2C%0D%0A5x+%2B+2y+=+34%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Use the elimination method to solve this system. &nbsp;For it, &nbsp;multiply the second equation by &nbsp;2&nbsp; and subtract the first equation. &nbsp;You will get \r<BR>\n" );
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document.write( "&nbsp;&nbsp;10x + 4y = 68<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;3x + 4y = 40\r<BR>\n" );
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document.write( "-------------------------\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;7x &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;= 68-40 = 28.\r<BR>\n" );
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document.write( "So, &nbsp;x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F7 ALIGN=MIDDLE  ALT=\"28%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4.\r<BR>\n" );
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document.write( "Now, substitute the found value of &nbsp;x&nbsp; into the first equation of your system. &nbsp;You will get \r<BR>\n" );
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document.write( "3*4 + 4y = 40, \r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "4y = 40 - 12 = 28.\r<BR>\n" );
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document.write( "Hence, &nbsp;y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28%2F4 ALIGN=MIDDLE  ALT=\"28%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 7. \r<BR>\n" );
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document.write( "<B>Answer</B>.  &nbsp;The cost of one bag of potatoes is $4 and the cost of one case of corn is $7. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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