document.write( "Question 730084: Mrs. Crews bought 4 pencils and 3 pens for $5.60... Mrs Henderson bought 2 pencils and 3 pens for $4.60 of the same kind... What is the price for each pen and pencil? \n" ); document.write( "

Algebra.Com's Answer #446473 by mananth(16946) $\"\"$ $\"About$

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x= price of pencil
\n" ); document.write( "y= price of pen
\n" ); document.write( "
\n" ); document.write( "4.00 x + 3.00 y = 5.60 .............1
\n" ); document.write( "
\n" ); document.write( "2.00 x + 3.00 y = 4.60 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -1.00
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-4.00 x -3.00 y = -5.60
\n" ); document.write( "2.00 x + 3.00 y = 4.60
\n" ); document.write( "Add the two equations
\n" ); document.write( "-2.00 x = -1.00
\n" ); document.write( "/ -2.00
\n" ); document.write( "x = .50
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "4.00 x + 3.00 y = 5.60
\n" ); document.write( "2.00 + 3.00 y = 5.60
\n" ); document.write( " 3.00 y = 5.60 -2.00
\n" ); document.write( " 3.00 y = 3.60
\n" ); document.write( " y = 1.20
\n" ); document.write( "x= 0.50 price of pencil
\n" ); document.write( "y= 1.20 price of pen
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

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