The equation of the value of the car over a year is 2357.14x + y = 33,000. Then the value of the car 4 years after it was purchased is $23571.43.
<h3>What is the linear system?</h3>
A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
A new car is purchased for $33,000 and overtime its value depreciates by one half every 7 years.
Then the value of the car is given by the linear equation. Then the line is passing through (0, $33,000) and (7, $16,500). Then we have
Let y be the value of the car and x be the number of years. Then we have

Then the value of the car 4 years after it was purchased, to the nearest hundred dollars will be

More about the linear system link is given below.
brainly.com/question/20379472
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