document.write( "Question 378705: Four pencils and two pens cost $0.74. Six pencils and five Pena cost $1.53. Find the cost of a pencil and a pen \n" ); document.write( "
Algebra.Com's Answer #269076 by mananth(16946)\"\" \"About 
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Four pencils and two pens cost $0.74. Six pencils and five Pena cost $1.53. Find the cost of a pencil and a pen.
\n" ); document.write( "..
\n" ); document.write( "For easier caculation lets solve in cents
\n" ); document.write( "let pencil cost x cents
\n" ); document.write( "pen cost y cents
\n" ); document.write( "4x+2y=74.....................1
\n" ); document.write( "....
\n" ); document.write( "6x+5y=153 ...................2
\n" ); document.write( "..
\n" ); document.write( "multiply 1 by -6 & 2 by 4
\n" ); document.write( "-24x-12y=-444
\n" ); document.write( "24x+20y=612
\n" ); document.write( "add them
\n" ); document.write( "8y=168
\n" ); document.write( "/8
\n" ); document.write( "y= 21 cents, cost of pen
\n" ); document.write( "..
\n" ); document.write( "plug value of y in 1
\n" ); document.write( "4x+2*21= 74
\n" ); document.write( "4x+42=74
\n" ); document.write( "4x= 74-42
\n" ); document.write( "4x=32
\n" ); document.write( "/4
\n" ); document.write( "x= 8 cents ,cost of pencil
\n" ); document.write( "...
\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "
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