document.write( "Question 542361: you have nickels and dimes in your wallet with a total value of $1.10. You have 17 coins in all. Write and solve a system of linear equations to find the number x of nickels and y of dimes. \n" ); document.write( "

Algebra.Com's Answer #354530 by josmiceli(19441) $\"\"$ $\"About$

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given:
\n" ); document.write( "(1) $\"+x+%2B+y+=+17+\"$
\n" ); document.write( "(2) $\"+5x+%2B+10y+=+110+\"$ ( in cents)
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+5x+%2B+10y+=+110+\"$
\n" ); document.write( "(1) $\"+-5x+-+5y+=+-85+\"$
\n" ); document.write( " $\"+5y+=+25+\"$
\n" ); document.write( " $\"+y+=+5+\"$
\n" ); document.write( "and, since
\n" ); document.write( "(1) $\"+x+%2B+y+=+17+\"$
\n" ); document.write( "(1) $\"+x+%2B+5+=+17+\"$
\n" ); document.write( "(1) $\"+x+=+12+\"$
\n" ); document.write( "There are 12 nickels and 5 dimes \n" ); document.write( "

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