document.write( "Question 355647: Mary and Jane shop at an office supplies store. Mary spends $20 on 10 pens and
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document.write( "10 notebooks. Jane spends $15 on 5 pens and 8 notebooks. Find the prices of the
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document.write( "stationery. \n" );
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Algebra.Com's Answer #253943 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let price of pen be $x \n" ); document.write( "price of notebook be $y/10 \n" ); document.write( "... \n" ); document.write( "10x+10y=20 \n" ); document.write( "x+y=2.......................1 \n" ); document.write( "5x+8y=15....................2 \n" ); document.write( "multiply equation 1 by -5 and add it to equation2 \n" ); document.write( "-5x-5y=-10 \n" ); document.write( "add to 2 \n" ); document.write( "8y-5y=15-10 \n" ); document.write( "3y=5 \n" ); document.write( "/3 \n" ); document.write( "y = 5/3 \n" ); document.write( "... \n" ); document.write( "plug value of y in equation 1 \n" ); document.write( "x+5/3 = 2 \n" ); document.write( "(3x+5)/3=2 \n" ); document.write( "3x+5 =6 \n" ); document.write( "3x=6-5 \n" ); document.write( "3x=1 \n" ); document.write( "x= 0.33 \n" ); document.write( "... \n" ); document.write( "Pen costs 33 cents \n" ); document.write( "notebook costs $1.67 \n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |