SOLUTION: A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 5 hot dogs, 2 bags of potato chips, and 4 soft drinks for $16.50. The price of a hot dog is $2.00 mo

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Question 927459: A vendor sells hot dogs, bags of potato chips, and soft drinks. A customer buys 5 hot dogs, 2 bags of potato chips, and 4 soft drinks for $16.50. The price of a hot dog is $2.00 more than the price of a bag of potato chips. The cost of a soft drink is $4.25 less than the price of two hot dogs. Find the cost of each item.
Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
x = $/dog
y = $/chip
z = $/drink
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5x + 2y + 4z = 16.50
x = y + 2
z = 2x - 4.25
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put the system of linear equations into standard form
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5x + 2y + 4z = 16.50
x - y = 2
2x - z = 4.25
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = $/dog = 2.50
y = $/chip = 0.50
z = $/drink = 0.75
---
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Solve quadratic equations, quadratic formula:
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Solve systems of linear equations up to 6-equations 6-variables:
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