Two cars got an oil change at the same auto shop. the shop charges customers for each quart of oil plus a flat fee for labor. the oil change for one car required 5 quarts of oil and cost $25.50. the oil change for the other car required 7 quarts of oil and cost $30.00. how much is the labor fee and how much is each quart of oil?

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

Substitute it into the first equation:

The labor fee is $14.25, each quart of oil costs $2.25.

∠cbe and ∠deb are same-side interior angles.

i took the test

the answer to your question is c.)   volcanoes built the mountains and earthquakes tore them down.

step-by-step explanation: