document.write( "Question 434745: a used CD costs $2 less than 2 used cassettes. Find the cost of a used CD and a used cassette if the total cost for two CDs and six cassettes is $46. \n" ); document.write( "

Algebra.Com's Answer #301075 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = cost of a used CD
\n" ); document.write( "Let $\"b\"$ = cost of a used cassette
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+2b+-+2+\"$
\n" ); document.write( "(1) $\"+a+-+2b+=+-2+\"$
\n" ); document.write( "(2) $\"+2a+%2B+6b+=+46+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"3\"$
\n" ); document.write( "and add (1) and (2)
\n" ); document.write( "(1) $\"+3a+-+6b+=+-6+\"$
\n" ); document.write( "(2) $\"+2a+%2B+6b+=+46+\"$
\n" ); document.write( " $\"+5a+=+40+\"$
\n" ); document.write( " $\"+a+=+8+\"$
\n" ); document.write( "And
\n" ); document.write( "(1) $\"+a+=+2b+-+2+\"$
\n" ); document.write( "(1) $\"+8+=+2b+-+2+\"$
\n" ); document.write( "(1) $\"+2b+=+10+\"$
\n" ); document.write( " $\"b+=+5\"$
\n" ); document.write( "$8 is the cost of a used CD
\n" ); document.write( "$5 is the cost of a used cassette \n" ); document.write( "

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