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Mariana [72]
3 years ago
11

Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per m

ile. For the first delivery, you will get paid $350 plus $6 per mile that you drive. Write 2 equations and solve this system.​
Mathematics
1 answer:
Anika [276]3 years ago
7 0

The question is an illustration of a system of linear equations.

  • The system of linear equations is: y=450  + 2x and y = 350 + 6x
  • The solution to the equation is (25,500)

Let the number of miles be x.

<u>Getting trained and licensed</u>

  • One time cost: $450
  • Gas and Insurance: $2 per mile

So, the equation is:

y=450  + 2x

<u>Delivery</u>

  • First delivery: $350
  • Rate: $6 per mile

So, the equation is:

y = 350 + 6x

Hence, the system of linear equations is:

y=450  + 2x and y = 350 + 6x

To solve the equation, we equate both, as follows:

450 + 2x = 350 + 6x

Collect like terms

6x - 2x = 450 - 350

4x = 100

Divide both sides by 4

x = 25

Substitute 25 for x in y=450  + 2x

y = 450 + 2 \times 25

y = 450 + 50

y = 500

Hence, the solution to the equation is (25,500)

Read more about linear equations at:

brainly.com/question/14323743

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