Final answer:
The system of linear equations that represents this situation is y = x + y1x, where x represents the number of quarts of oil used, y represents the total cost, and y1 represents the cost per quart of oil.
Step-by-step explanation:
The system of linear equations that represents this situation is:
y = x + y1x
Where x represents the number of quarts of oil used, y represents the total cost, and y1 represents the cost per quart of oil.
For example, if the fee for an oil change is $30 and the cost per quart of oil is $5, the equation would be:
y = 30 + 5x
where y represents the total cost and x represents the number of quarts of oil used.