document.write( "Question 1063095: Two students are going to the store to buy school supplies. One of the students buys 2 packs of pencils and 3 packs of pens for $8.25. Her friend purchases 5 packs of pencils and 2 packs of pens for $11. What is the cost of 1 pack of pencils and 1 pack of pens?
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Algebra.Com's Answer #678102 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! pencils=x \n" ); document.write( "pens=y \n" ); document.write( "2x+3y=8.25 \n" ); document.write( "5x+2y=11 \n" ); document.write( "multiply the top by 2 and the bottom by -3 and add, eliminating y \n" ); document.write( "4x+6y=16.50 \n" ); document.write( "-15x-6y=-33 \n" ); document.write( "-11x=-16.50 \n" ); document.write( "x=$1.50 PENCIL \n" ); document.write( "substitute into first \n" ); document.write( "3+3y=8.25 \n" ); document.write( "3y=5.25 \n" ); document.write( "y=$1.75 PEN \n" ); document.write( "Check in second \n" ); document.write( "7.50+3.50=$11 checks. \n" ); document.write( " \n" ); document.write( " |