SOLUTION: you buy 4 candles and 3 matches for $34. for two candles and 1 matches , the coast is $16. choose and a system of equations to find the costs of matches and candles.

Question 750730: you buy 4 candles and 3 matches for $34. for two candles and 1 matches , the coast is $16. choose and a system of equations to find the costs of matches and candles.

Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
x = candle y = match
4x + 3y = $34....1
2x + y = $16....2
Multiply (2) by 3
4x + 3y = $34....1
6x + 3y = $48....2
Subtract (1) from (2)
2x = $14
x = $7
Substitute $7 for x in:
4x + 3y = $34
28 + 3y = $34
3y = $34 - $28
3y = $6
y = $2
Candles cost $7 and matches cost $2
Hope this helps :-)
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