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20 votes
20 votes
the price of 6 slices of pizza and 4 drinks is $37.00. The price of 2 slices of pizza and 3 drinks is $16.50. Let x represent a slice of pizza and let y represent the cost of a drink.​

the price of 6 slices of pizza and 4 drinks is $37.00. The price of 2 slices of pizza-example-1
User MehmedB
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1 Answer

9 votes
9 votes

Answer:

See below.

Explanation:

6x + 4y = 37 [These are the correct equations]

2x + 3y = 16.50

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I don't see any question concerning the individual prices, x and y, but here is the answer:

-6x -9y = - 49.50 [Multiply the second equation by -3]

6x + 4y = 37 [now add it to the first equation]

-5y = -12.50

y = 2.50 $2.50 is the price of one drink

Use this value of y in either equation to find x, the price of 1 slice of pizza.

6x + 4y = 37

6x + 4*(2.50) = 37

6x + 10 = 37

6x = 27

x = 4.50 $4.50 is the price of one slice of pizza

User Cyberskunk
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