document.write( "Question 251788: Two dvd's and three tapes cost $31. Three dvd's and two tapes cost $29. Find the cost of each dvd and each tape. \n" ); document.write( "

Algebra.Com's Answer #183495 by josmiceli(19441) $\"\"$ $\"About$

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$\"d\"$ = cost of 1 dvd
\n" ); document.write( " $\"t\"$ = cost of 1 tape
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"2d+%2B+3t+=+31\"$
\n" ); document.write( "(2) $\"3d+%2B+2t+=+29\"$
\n" ); document.write( "Multiply (1) by $\"3\"$ and (2) by $\"2\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"6d+%2B+9t+=+93\"$
\n" ); document.write( "(2) $\"-6d+-+4t+=+-58\"$
\n" ); document.write( " $\"5t+=+35\"$
\n" ); document.write( " $\"t+=+7\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"2d+%2B+3t+=+31\"$
\n" ); document.write( " $\"2d+%2B+3%2A7+=+31\"$
\n" ); document.write( " $\"2d+=+31+-+21\"$
\n" ); document.write( " $\"2d+=+10\"$
\n" ); document.write( " $\"d+=+5\"$
\n" ); document.write( "Each tape cost $7 and each dvd costs $5 \n" ); document.write( "

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