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Getting trained and licensed as a truck driver involves a one-time cost of $450. Gas and insurance end up costing about $2 per mile. For the first delivery, you will get paid $350 plus $6 per mile that you drive. Write 2 equations and solve this system.​

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MrRoyal

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

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

Let the number of miles be x.

Getting trained and licensed

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

So, the equation is:

[tex]y=450 + 2x[/tex]

Delivery

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

So, the equation is:

[tex]y = 350 + 6x[/tex]

Hence, the system of linear equations is:

[tex]y=450 + 2x[/tex] and [tex]y = 350 + 6x[/tex]

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

[tex]450 + 2x = 350 + 6x[/tex]

Collect like terms

[tex]6x - 2x = 450 - 350[/tex]

[tex]4x = 100[/tex]

Divide both sides by 4

[tex]x = 25[/tex]

Substitute 25 for x in [tex]y=450 + 2x[/tex]

[tex]y = 450 + 2 \times 25[/tex]

[tex]y = 450 + 50[/tex]

[tex]y = 500[/tex]

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

Read more about linear equations at:

https://brainly.com/question/14323743

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