SOLUTION: 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

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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.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
given:
(1) +x+%2B+y+=+17+
(2) +5x+%2B+10y+=+110+ ( in cents)
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Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) +5x+%2B+10y+=+110+
(1) +-5x+-+5y+=+-85+
+5y+=+25+
+y+=+5+
and, since
(1) +x+%2B+y+=+17+
(1) +x+%2B+5+=+17+
(1) +x+=+12+
There are 12 nickels and 5 dimes