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omeli [17]
2 years ago
15

Imagine telling a friend about your favorite coffee and donut shop. Your friend asks how much it charges for a cup of coffee and

a doughnut. While you can't remember how much each one costs individually, you do remember that's the last time you ordered one coffee and two donuts, your bill was $7.00. And today, when you bought two coffees and three Donuts, your bill came to $12.00.
Write a system of linear equations to represent the above situation.
Mathematics
1 answer:
Mama L [17]2 years ago
8 0

Answer:

c + 2d = $7.00

2c + 3d = $12.00

Step-by-step explanation:

Hello!

<u>Let:</u>

  • c = # of coffees
  • d = # of donuts

1 coffee and 2 donuts cost $7.00

This can be repesented by 1c + 2d = $7.00, or c + 2d = $7.00

2 coffees and 3 donuts cost $12.00

This can be represented by 2c + 3d = $12.00

<u>So, the system is :</u>

c + 2d = $7.00

2c + 3d = $12.00

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Answer:

r<9

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r/3 + 5 < 8

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Multiply each side by 3

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What 324568 x 951478
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3 years ago
Julie works in chicago and has to pay $14 per day on tolls and $76 a day for gas. If she makes $19 an hour how many hours must s
enot [183]

Answer:

19 hours.

Step-by-step explanation:

T = -14 -76 + 19h

The -14 is the cost for tolls, and the -76 is the cost for gas. The 19h is the amount she'll get per hour if she makes $19/hour. And T is the total profit

We want to solve for h if T = 260

260 = -14 -76 + 19h

+14      +14

274 = -76 +19h

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3 years ago
What is the solution of the system? Use elimination. <br> 3x - 4y = 9<br> -3x + 2y = 9
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You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.

We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

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Confirm with the final equation:

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9 = 9 --- Confirmed.

6 0
3 years ago
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