document.write( "Question 708873: One store offers 10 soccer balls and 2 soccer ball bags for 155 dollars. Another store offers 12 soccer balls and 3 soccer ball bags for 189 dollars. Write and solve a linear equation to find out how much one soccer ball and one bag costs. \n" ); document.write( "
Algebra.Com's Answer #436291 by josgarithmetic(39620)\"\" \"About 
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These must be two stores of the same company; otherwise each store would charge different prices for an item. \r
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\n" ); document.write( "\n" ); document.write( "x price of ball
\n" ); document.write( "y price of bag\r
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\n" ); document.write( "\n" ); document.write( "10x+2y=155
\n" ); document.write( "AND
\n" ); document.write( "12x+3y=189\r
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\n" ); document.write( "\n" ); document.write( "Divide the second equation by 3:
\n" ); document.write( "4x+y=63\r
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\n" ); document.write( "\n" ); document.write( "Now your system is this:
\n" ); document.write( "\"10x%2B2y=155\"
\n" ); document.write( "\"4x%2By=63\"\r
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\n" ); document.write( "\n" ); document.write( "Subtract 2 times the second equation from the first equation and find value for x.
\n" ); document.write( "\"10x%2B2y-8x-2y=155-126\"
\n" ); document.write( "\"2x=29\"
\n" ); document.write( "\"highlight%28x=14.50%29\", $14.50 for a soccer ball. \r
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\n" ); document.write( "\n" ); document.write( "Finding y:
\n" ); document.write( "4x+y=63
\n" ); document.write( "y=63-4x
\n" ); document.write( "\"y=64-4%2814.5%29\"
\n" ); document.write( "\"highlight%28y=6.00%29\", $6.00 for a soccer bag.
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