document.write( "Question 467049: A video store received two shipments of video cassettes. The value of the first shipment, which contained eight 4-hour and sixteen 8-hour cassettes, was $296. The value of the second shipment, which contained six 4-hour and eighteen 8-hour cassettes was $252. Find the x, the cost of a 4-hour cassettes and y, the cost of an 8-hour cassette. \n" ); document.write( "

Algebra.Com's Answer #320363 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Given:
\n" ); document.write( "(1) $\"+8x+%2B+16y+=+296+\"$
\n" ); document.write( "(2) $\"+6x+%2B+18y+=+252+\"$
\n" ); document.write( "Multiply Both sides of (1) by $\"3\"$
\n" ); document.write( "Multiply both sides of (2) by $\"4\"$
\n" ); document.write( "Then subtract (1) from (2)\r
\n" ); document.write( "\n" ); document.write( "(2) $\"+24x+%2B+72y+=+1008+\"$
\n" ); document.write( "(1) $\"+-24x+-+48y+=+-888+\"$
\n" ); document.write( " $\"+24y+=+120+\"$
\n" ); document.write( " $\"+y+=+5+\"$
\n" ); document.write( "Plug this back into (1)
\n" ); document.write( "(1) $\"+8x+%2B+16%2A5+=+296+\"$
\n" ); document.write( "(1) $\"+8x+%2B+80+=+296+\"$
\n" ); document.write( "(1) $\"+8x+=+216+\"$
\n" ); document.write( "(1) $\"+x+=+27+\"$
\n" ); document.write( "check answers:
\n" ); document.write( "(2) $\"+24x+%2B+72y+=+1008+\"$
\n" ); document.write( "(2) $\"+24%2A27+%2B+72%2A5+=+1008+\"$
\n" ); document.write( "(2) $\"+648+%2B+360+=+1008+\"$
\n" ); document.write( "(2) $\"+1008+=+1008+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );