Question

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.​

Answer 1

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.

Getting trained and licensed

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

So, the equation is:

$y=450 + 2x$

Delivery

• 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