document.write( "Question 914852: Two similar books and 3 similar pens cost $55. 4 such books and 5 such pens cost $97. Find the cost of each book. \n" ); document.write( "

Algebra.Com's Answer #555328 by mananth(16946) $\"\"$ $\"About$

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x= cost of book
\n" ); document.write( "y= cost of pen
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\n" ); document.write( "2 x + 3 y = 55 .............1
\n" ); document.write( "
\n" ); document.write( "4 x + 5 y = 97 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -5
\n" ); document.write( "Multiply (2) by 3
\n" ); document.write( "-10 x -15 y = -275
\n" ); document.write( "12 x + 15 y = 291
\n" ); document.write( "Add the two equations
\n" ); document.write( "2 x = 16
\n" ); document.write( "/ 2
\n" ); document.write( "x = 8
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "2 x + 3 y = 55
\n" ); document.write( "16 + 3 y = 55
\n" ); document.write( " 3 y = 55 -16
\n" ); document.write( " 3 y = 39
\n" ); document.write( " y = 13 1
\n" ); document.write( "x= $8 cost of book
\n" ); document.write( "y= $13 cost of pen
\n" ); document.write( "m.ananth@hotmail.ca
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