document.write( "Question 118929: 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. \n" ); document.write( "

Algebra.Com's Answer #87021 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "Let apples be $\"x\"$ and oranges be $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( "If $\"six\"$ apples and $\"three\"$ oranges cost $ $\"3.36\"$ , we have:\r
\n" ); document.write( "\n" ); document.write( " $\"6x+%2B+3y+=+3.36\"$ \r
\n" ); document.write( "\n" ); document.write( "If $\"two+\"$ apples and $\"+five+\"$ oranges cost $ $\"3.04\"$ , we have:\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+5y+=+3.04\"$ \r
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\n" ); document.write( "\n" ); document.write( "Now solve the system:\r
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\n" ); document.write( "\n" ); document.write( " $\"6x+%2B+3y+=+3.36\"$ ЕЕЕЕЕЕЕ(1)Е.solve for $\"x\"$ and substitute in (2)\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+5y+=+3.04\"$ ЕЕЕЕЕЕЕ(2)\r
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\n" ); document.write( "\n" ); document.write( " $\"6x++=++-+3y+%2B+3.36\"$ ЕЕЕЕЕЕ...divide both sides by $\"6\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6x%2F6++=++-+3y%2F6+%2B+3.36%2F6\"$ Е.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x++=++-+%281%2F2%29y+%2B+0.56\"$ ЕЕЕЕЕ. substitute in (2)\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2%28-+%281%2F2%29y+%2B+0.56%29+%2B+5y+=+3.04\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"cross%282%29%28-+%281%2Fcross%282%29%29%29y+%2B+2%2A0.56+%2B+5y+=+3.04\"$
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\n" ); document.write( "\n" ); document.write( " $\"-y+%2B+1.12%2B+5y+=+3.04\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+1.12%2B+4y+=+3.04\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+4y+=+3.04+-1.12\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+4y+=+1.92\"$ ЕЕЕЕЕЕЕЕЕ.. divide both sides by $\"4\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"+4y%2F4+=+1.92%2F4\"$ ЕЕЕЕЕЕЕЕЕ..\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+y+=+0.48\"$ ЕЕЕЕЕЕЕЕЕ..now find $\"x\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x++=++-+%281%2F2%29y+%2B+0.56\"$ ЕЕЕЕЕ.\r
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\n" ); document.write( "\n" ); document.write( " $\"x++=++-+%281%2F2%29+%280.48%29+%2B+0.56\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x++=++%28-0.24%29+%2B+0.56\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x++=++0.32\"$ ЕЕЕЕЕ.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( " $\"6x+%2B+3y+=+3.36\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"6%280.32%29+%2B+3%280.48%29+=+3.36\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"1.92%2B+1.44+=+3.36\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"3.36+=+3.36\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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